岸本 展

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Name(Kanji/Kana/Abecedarium Latinum)
岸本 展/キシモト ノブ/Kishimoto, Nobu
Primary Affiliation(Org1/Job title)
Research Institute for Mathematical Sciences (RIMS)/Senior Lecturer/ Junior Associate Professor
Affiliated programs (koza)
Org1 Job title
Graduate School of Science Senior Lecturer/ Junior Associate Professor
Academic Organizations You are Affiliated to in Japan
Organization name(Japanese) Organization name(English)
日本数学会 The Mathematical Society of Japan
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
修士(理学) Master of Science 京都大学 Kyoto University
博士(理学) Doctor of Science 京都大学 Kyoto University
Personal Profile
(Japanese)
非線形偏微分方程式について解析的な手法を用いて研究している。教育経験はまだ少ないので,今後講義や大学院生の指導を通して自身も教育者として成長していきたい。社会貢献はなかなか難しい分野ではあるが,市民講座等で講演する機会があればできるだけ数学研究の重要性・面白さが伝えられるよう努力する。各種会議や委員会にもできるだけ参加して運営業務に貢献できればと考えている。
(English)
Nobu Kishimoto is researching nonlinear partial differential equations by using analytic methods. He has little experience of education, so he wants to develop himself with students through educational activities in the future. Although it is not easy to link his research to the social contribution, if he has an opportunity to provide a lecture toward the public, he will try to tell the importance of mathematical research and share the interesting part of it as much as possible. Furthermore, he is willing to contribute to university operation by taking part in meetings and committees.
Language of Instruction
Language(japanese) Language(english) Code
英語 English eng
日本語 Japanese jpn
ORCID ID
https://orcid.org/0000-0003-2521-9976
researchmap URL
https://researchmap.jp/nobu-1234-kishimoto
Research Topics
(Japanese)
非線形分散型方程式の初期値問題の適切性と解の性質(散乱、爆発、平滑化、無条件一意性など)に関する研究
(English)
Nonlinear dispersive partial differential equations: well-posedness and properties of solutions of the initial value problem (such as scattering to linear solutions, finite time blowup, smoothing effect, unconditional uniqueness)
Overview of the research
(Japanese)
非線形偏微分方程式,特に分散型と呼ばれるクラスの発展方程式について,調和解析・実解析的手法に基づいて初期値問題の適切性(解の存在と一意性,初期値連続依存性)や,線形解への散乱・有限時間爆発といった解の時間大域的性質等を研究している。特に分散型方程式の平滑化作用と非線形部分の対称性を活用した非線形効果の制御がテーマである。物理背景を持つ方程式を扱うものの、数値実験を用いない理論的な研究を行っている。
(English)
He is working on nonlinear partial differential equations, especially nonlinear dispersive equations. Mainly taking the harmonic and real analytic approach, he studies various properties of solutions of the initial value problems such as local- and global-in-time well-posedness (i.e., existence, uniqueness of solutions and continuous dependence on initial data), scattering to linear solutions, finite time blowup, unconditional uniqueness and so on. In particular, his main interest is to control the nonlinearity by exploiting the dispersive smoothing effect and the specific structure (symmetry) of the nonlinearity. Although many equations he studies have physical backgrounds, his research is purely theoretical without relying on numerical simulations or experiments.
Fields of research (key words)
Key words(Japanese) Key words(English)
偏微分方程式 Partial differential equations
非線形分散型方程式 Nonlinear dispersive equations
初期値問題の適切性 Well-posedness of the initial value problem
周期境界条件 Periodic boundary condition
平滑化効果 Smoothing effect
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach International Mathematics Research Notices International Mathematics Research Notices International Mathematics Research Notices 2021/04/19 Refereed English Research paper(scientific journal) Disclose to all
Andreia Chapouto, Nobu Kishimoto Andreia Chapouto, Nobu Kishimoto Andreia Chapouto, Nobu Kishimoto Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations preprint preprint preprint 2021/04 English Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Unconditional local well-posedness for periodic NLS Unconditional local well-posedness for periodic NLS Unconditional local well-posedness for periodic NLS Journal of Differential Equations, 274, 766-787 Journal of Differential Equations, 274, 766-787 Journal of Differential Equations, 274, 766-787 2021/02 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto, Yoshio Tsutsumi Nobu Kishimoto, Yoshio Tsutsumi Nobu Kishimoto, Yoshio Tsutsumi A priori bounds for the kinetic DNLS A priori bounds for the kinetic DNLS A priori bounds for the kinetic DNLS 2019-20 MATRIX Annals, 797-803 2019-20 MATRIX Annals, 797-803 2019-20 MATRIX Annals, 797-803 2021 English Disclose to all
Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance Nonlinear Analysis, 198, 111895-111895 Nonlinear Analysis, 198, 111895-111895 Nonlinear Analysis, 198, 111895-111895 2020/09 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Remarks on the periodic Zakharov system Remarks on the periodic Zakharov system Remarks on the periodic Zakharov system preprint preprint preprint 2020/05 English Research paper(bulletin of university, research institution) Disclose to all
Nobu Kishimoto, Minjie Shan, Yoshio Tsutsumi Nobu Kishimoto, Minjie Shan, Yoshio Tsutsumi Nobu Kishimoto, Minjie Shan, Yoshio Tsutsumi Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili Ⅱ equation in the anisotropic Sobolev space Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili Ⅱ equation in the anisotropic Sobolev space Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili Ⅱ equation in the anisotropic Sobolev space Discrete & Continuous Dynamical Systems - A, 40, 3, 1283-1307 Discrete & Continuous Dynamical Systems - A, 40, 3, 1283-1307 Discrete & Continuous Dynamical Systems - A, 40, 3, 1283-1307 2020 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Gevrey well-posedness and ill-posedness of third-order nonlinear Schrödinger equations on the torus Gevrey well-posedness and ill-posedness of third-order nonlinear Schrödinger equations on the torus Gevrey well-posedness and ill-posedness of third-order nonlinear Schrödinger equations on the torus preprint preprint preprint 2020/01 English Disclose to all
N. Kishimoto, Y. Tsutsumi N. Kishimoto, Y. Tsutsumi N. Kishimoto, Y. Tsutsumi Ill-posedness of the Third Order NLS with Raman Scattering Term in Gevrey Spaces Ill-posedness of the Third Order NLS with Raman Scattering Term in Gevrey Spaces Ill-posedness of the Third Order NLS with Raman Scattering Term in Gevrey Spaces Mathematics of Wave Phenomena, Trends in Mathematics, 219-233 Mathematics of Wave Phenomena, Trends in Mathematics, 219-233 Mathematics of Wave Phenomena, Trends in Mathematics, 219-233 2020 Refereed English Research paper(international conference proceedings) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach preprint preprint preprint 2019/11 English Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Unconditional uniqueness of solutions for nonlinear dispersive equations Unconditional uniqueness of solutions for nonlinear dispersive equations Unconditional uniqueness of solutions for nonlinear dispersive equations preprint preprint preprint 2019/11 English Disclose to all
N. Kishimoto, M. Shan, Y. Tsutsumi N. Kishimoto, M. Shan, Y. Tsutsumi N. Kishimoto, M. Shan, Y. Tsutsumi Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in R2 Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in R2 Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in R2 Dynamics of Partial Differential Equations, 16, 4, 317-323 Dynamics of Partial Differential Equations, 16, 4, 317-323 Dynamics of Partial Differential Equations, 16, 4, 317-323 2019/08 Refereed English Research paper(scientific journal) Disclose to all
N. Kishimoto N. Kishimoto N. Kishimoto A remark on norm inflation for nonlinear Schrödinger equations A remark on norm inflation for nonlinear Schrödinger equations A remark on norm inflation for nonlinear Schrödinger equations Communications on Pure and Applied Analysis, 18, 3, 1375-1402 Communications on Pure and Applied Analysis, 18, 3, 1375-1402 Communications on Pure and Applied Analysis, 18, 3, 1375-1402 2019/05 Refereed English Research paper(scientific journal) Disclose to all
M. Darwich, N. Kishimoto, L. Molinet M. Darwich, N. Kishimoto, L. Molinet M. Darwich, N. Kishimoto, L. Molinet Dispersive limits for some perturbations of the NLS equation Dispersive limits for some perturbations of the NLS equation Dispersive limits for some perturbations of the NLS equation Monatshefte für Mathematik, 188, 4, 629-651 Monatshefte für Mathematik, 188, 4, 629-651 Monatshefte für Mathematik, 188, 4, 629-651 2019/04 Refereed English Research paper(scientific journal) Disclose to all
Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition Discrete & Continuous Dynamical Systems - A, 39, 11, 6299-6353 Discrete & Continuous Dynamical Systems - A, 39, 11, 6299-6353 Discrete & Continuous Dynamical Systems - A, 39, 11, 6299-6353 2019 Refereed English Research paper(scientific journal) Disclose to all
N. Kishimoto, Y. Tsutsumi N. Kishimoto, Y. Tsutsumi N. Kishimoto, Y. Tsutsumi Ill-posedness of the third order NLS equation with Raman scattering term Ill-posedness of the third order NLS equation with Raman scattering term Ill-posedness of the third order NLS equation with Raman scattering term Mathematical Research Letters, 25, 5, 1447-1484 Mathematical Research Letters, 25, 5, 1447-1484 Mathematical Research Letters, 25, 5, 1447-1484 2018/09 Refereed English Research paper(scientific journal) Disclose to all
N. Kishimoto N. Kishimoto N. Kishimoto Uniform local well-posedness for the one-dimensional cubic Schrödinger equation perturbed by third-order dispersion and derivative nonlinearity Uniform local well-posedness for the one-dimensional cubic Schrödinger equation perturbed by third-order dispersion and derivative nonlinearity Uniform local well-posedness for the one-dimensional cubic Schrödinger equation perturbed by third-order dispersion and derivative nonlinearity preprint preprint preprint 2018 English Disclose to all
Nobu Kishimoto, Tsuyoshi Yoneda Nobu Kishimoto, Tsuyoshi Yoneda Nobu Kishimoto, Tsuyoshi Yoneda Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain Mathematische Annalen, 372, 1-2, 1-37 Mathematische Annalen, 372, 1-2, 1-37 Mathematische Annalen, 372, 1-2, 1-37 2017/10/25 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto, Tsuyoshi Yoneda Nobu Kishimoto, Tsuyoshi Yoneda Nobu Kishimoto, Tsuyoshi Yoneda A number theoretical observation of a resonant interaction of Rossby waves A number theoretical observation of a resonant interaction of Rossby waves A number theoretical observation of a resonant interaction of Rossby waves Kodai Mathematical Journal, 40, 1, 16-20 Kodai Mathematical Journal, 40, 1, 16-20 Kodai Mathematical Journal, 40, 1, 16-20 2017/03 Refereed English Research paper(scientific journal) Disclose to all
Masahiro Ikeda, Nobu Kishimoto, Mamoru Okamoto M. Ikeda, N. Kishimoto, M. Okamoto Masahiro Ikeda, Nobu Kishimoto, Mamoru Okamoto Well-posedness for a quadratic derivative nonlinear Schrodinger system at the critical regularity Well-posedness for a quadratic derivative nonlinear Schrödinger system at the critical regularity Well-posedness for a quadratic derivative nonlinear Schrodinger system at the critical regularity JOURNAL OF FUNCTIONAL ANALYSIS, 271, 4, 747-798 Journal of Functional Analysis, 271, 4, 747-798 JOURNAL OF FUNCTIONAL ANALYSIS, 271, 4, 747-798 2016/08 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto N. Kishimoto Nobu Kishimoto Remark on the periodic mass critical nonlinear Schrödinger equation Remark on the periodic mass critical nonlinear Schrödinger equation Remark on the periodic mass critical nonlinear Schrödinger equation Proceedings of the American Mathematical Society, 142, 8, 2649-2660 Proceedings of the American Mathematical Society, 142, 8, 2649-2660 Proceedings of the American Mathematical Society, 142, 8, 2649-2660 2014/08 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto RESONANT DECOMPOSITION AND THE I-METHOD FOR THE TWO-DIMENSIONAL ZAKHAROV SYSTEM RESONANT DECOMPOSITION AND THE I-METHOD FOR THE TWO-DIMENSIONAL ZAKHAROV SYSTEM RESONANT DECOMPOSITION AND THE I-METHOD FOR THE TWO-DIMENSIONAL ZAKHAROV SYSTEM DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 33, 9, 4095-4122 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 33, 9, 4095-4122 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 33, 9, 4095-4122 2013/09 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto, Masaya Maeda Nobu Kishimoto, Masaya Maeda Nobu Kishimoto, Masaya Maeda Construction of blow-up solutions for Zakharov system on T-2 Construction of blow-up solutions for Zakharov system on T-2 Construction of blow-up solutions for Zakharov system on T-2 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 30, 5, 791-824 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 30, 5, 791-824 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 30, 5, 791-824 2013/09 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Local well-posedness for the Zakharov system on the multidimensional torus Local well-posedness for the Zakharov system on the multidimensional torus Local well-posedness for the Zakharov system on the multidimensional torus JOURNAL D ANALYSE MATHEMATIQUE, 119, 1, 213-253 JOURNAL D ANALYSE MATHEMATIQUE, 119, 1, 213-253 JOURNAL D ANALYSE MATHEMATIQUE, 119, 1, 213-253 2013/04 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Sharp local well-posedness for the "good" Boussinesq equation Sharp local well-posedness for the "good" Boussinesq equation Sharp local well-posedness for the "good" Boussinesq equation Journal of Differential Equations, 254, 6, 2393-2433 Journal of Differential Equations, 254, 6, 2393-2433 Journal of Differential Equations, 254, 6, 2393-2433 2013/03/15 Refereed English Research paper(scientific journal) Disclose to all
N. Kishimoto N. Kishimoto N. Kishimoto Remark on the paper “Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation” by I. Bejenaru and T. Tao Remark on the paper “Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation” by I. Bejenaru and T. Tao Remark on the paper “Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation” by I. Bejenaru and T. Tao Atlantic Electronic Journal of Mathematics, 4, 1, 35-48 Atlantic Electronic Journal of Mathematics, 4, 1, 35-48 Atlantic Electronic Journal of Mathematics, 4, 1, 35-48 2011/01 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Local Well-posedness Results for 1-D Quadratic Nonlinear Schrödinger Equations (Harmonic Analysis and Nonlinear Partial Differential Equations) Local Well-posedness Results for 1-D Quadratic Nonlinear Schrödinger Equations (Harmonic Analysis and Nonlinear Partial Differential Equations) Local Well-posedness Results for 1-D Quadratic Nonlinear Schrödinger Equations (Harmonic Analysis and Nonlinear Partial Differential Equations) RIMS Kôkyûroku Bessatsu, 22, 121-130 数理解析研究所講究録別冊, 22, 121-130 RIMS Kôkyûroku Bessatsu, 22, 121-130 2010/12 Refereed English Research paper(international conference proceedings) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Well-posedness of the Cauchy problem for the KdV equation at the critical regularity (Harmonic Analysis and Nonlinear Partial Differential Equations) Well-posedness of the Cauchy problem for the KdV equation at the critical regularity (Harmonic Analysis and Nonlinear Partial Differential Equations) Well-posedness of the Cauchy problem for the KdV equation at the critical regularity (Harmonic Analysis and Nonlinear Partial Differential Equations) RIMS Kôkyûroku Bessatsu, 18, 57-73 数理解析研究所講究録別冊, 18, 57-73 RIMS Kôkyûroku Bessatsu, 18, 57-73 2010/06 Refereed English Research paper(international conference proceedings) Disclose to all
Nobu Kishimoto, Kotaro Tsugawa N. Kishimoto, K. Tsugawa Nobu Kishimoto, Kotaro Tsugawa LOCAL WELL-POSEDNESS FOR QUADRATIC NONLINEAR SCHRODINGER EQUATIONS AND THE "GOOD" BOUSSINESQ EQUATION Local well-posedness for quadratic nonlinear Schrödinger equations and the "good" Boussinesq equation LOCAL WELL-POSEDNESS FOR QUADRATIC NONLINEAR SCHRODINGER EQUATIONS AND THE "GOOD" BOUSSINESQ EQUATION DIFFERENTIAL AND INTEGRAL EQUATIONS, 23, 5-6, 463-493 Differential and Integral Equations, 23, 5-6, 463-493 DIFFERENTIAL AND INTEGRAL EQUATIONS, 23, 5-6, 463-493 2010/05 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Counterexamples to Bilinear Estimates for the Korteweg-de Vries Equation in the Besov-Type Bourgain Space Counterexamples to Bilinear Estimates for the Korteweg-de Vries Equation in the Besov-Type Bourgain Space Counterexamples to Bilinear Estimates for the Korteweg-de Vries Equation in the Besov-Type Bourgain Space FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 53, 1, 133-142 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 53, 1, 133-142 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 53, 1, 133-142 2010/04 Refereed English Research paper(scientific journal) Disclose to all
N. Kishimoto N. Kishimoto N. Kishimoto Well-posedness for the KdV Equation and Nonlinear Schrödinger Equations in Low-regularity Sobolev Spaces Well-posedness for the KdV Equation and Nonlinear Schrödinger Equations in Low-regularity Sobolev Spaces Well-posedness for the KdV Equation and Nonlinear Schrödinger Equations in Low-regularity Sobolev Spaces Kyoto University 京都大学 Kyoto University 2010/02 English Doctoral Thesis Disclose to all
Nobu Kishimoto N. Kishimoto Nobu Kishimoto Low-regularity bilinear estimates for a quadratic nonlinear Schrodinger equation Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation Low-regularity bilinear estimates for a quadratic nonlinear Schrodinger equation JOURNAL OF DIFFERENTIAL EQUATIONS, 247, 5, 1397-1439 Journal of Differential Equations, 247, 5, 1397-1439 JOURNAL OF DIFFERENTIAL EQUATIONS, 247, 5, 1397-1439 2009/09 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION AT THE CRITICAL REGULARITY WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION AT THE CRITICAL REGULARITY WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION AT THE CRITICAL REGULARITY DIFFERENTIAL AND INTEGRAL EQUATIONS, 22, 5-6, 447-464 DIFFERENTIAL AND INTEGRAL EQUATIONS, 22, 5-6, 447-464 DIFFERENTIAL AND INTEGRAL EQUATIONS, 22, 5-6, 447-464 2009/05 Refereed English Research paper(scientific journal) Disclose to all
Nobu Kishimoto N. Kishimoto Nobu Kishimoto Local well-posedness for the cauchy problem of the quadratic Schrodinger equation with nonlinearity u(2) Local well-posedness for the cauchy problem of the quadratic Schrödinger equation with nonlinearity u2 Local well-posedness for the cauchy problem of the quadratic Schrodinger equation with nonlinearity u(2) COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 7, 5, 1123-1143 Communications on Pure and Applied Analysis, 7, 5, 1123-1143 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 7, 5, 1123-1143 2008/09 Refereed English Research paper(scientific journal) Disclose to all
N. Kishimoto N. Kishimoto N. Kishimoto Low-regularity Local Well-posedness for Quadratic Nonlinear Schrödinger Equations Low-regularity Local Well-posedness for Quadratic Nonlinear Schrödinger Equations Low-regularity Local Well-posedness for Quadratic Nonlinear Schrödinger Equations Kyoto University 京都大学 Kyoto University 2008/02 English Master's Thesis Disclose to all

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Misc
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Nobu Kishimoto 岸本 展 Nobu Kishimoto Analysis on nonlinear Schrödinger equations with higher order terms (in Japanese) 高階項を持つ非線形シュレディンガー方程式の解析 Analysis on nonlinear Schrödinger equations with higher order terms (in Japanese) 第57回実函数論・函数解析学合同シンポジウム講演集, 98-107 第57回実函数論・函数解析学合同シンポジウム講演集, 98-107 , 98-107 2018/08 Japanese Article, review, commentary, editorial, etc.(other) Disclose to all
Nobu Kishimoto, Yoshio Tsutsumi 岸本 展, 堤 誉志雄 Nobu Kishimoto, Yoshio Tsutsumi Ill-posedness of the Cauchy problem for the nonlinear Schrödinger equation with Raman scattering term ラマン散乱項を持つ非線形シュレディンガー方程式の初期値問題の非適切性 Ill-posedness of the Cauchy problem for the nonlinear Schrödinger equation with Raman scattering term RIMS Kôkyûroku, 2076, 203-210 数理解析研究所講究録, 2076, 203-210 RIMS Kôkyûroku, 2076, 203-210 2018/07 English Article, review, commentary, editorial, etc.(other) Disclose to all
Nobu Kishimoto Nobu Kishimoto Nobu Kishimoto Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain RIMS Kôkyûroku, 2070, 1-16 数理解析研究所講究録, 2070, 1-16 RIMS Kôkyûroku, 2070, 1-16 2018/04 English Article, review, commentary, editorial, etc.(international conference proceedings) Disclose to all
N. Kishimoto 岸本 展 N. Kishimoto Local and global well-posedness for the KdV equation at the critical regularity (Nonlinear evolution equations and mathematical modeling) Local and global well-posedness for the KdV equation at the critical regularity (Nonlinear evolution equations and mathematical modeling) Local and global well-posedness for the KdV equation at the critical regularity (Nonlinear evolution equations and mathematical modeling) RIMS Kôkyûroku, 1693, 68-84 数理解析研究所講究録, 1693, 68-84 RIMS Kôkyûroku, 1693, 68-84 2010/06 English Article, review, commentary, editorial, etc.(international conference proceedings) Disclose to all
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Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
Well-posedness for the kinetic derivative nonlinear Schrödinger equation on the torus[Invited] Well-posedness for the kinetic derivative nonlinear Schrödinger equation on the torus [Invited] Well-posedness for the kinetic derivative nonlinear Schrödinger equation on the torus [Invited] The 12th Nagoya Workshop on Differential Equations 第12回 名古屋微分方程式研究集会 The 12th Nagoya Workshop on Differential Equations 2021/03/09 Japanese Oral presentation(invited, special) Disclose to all
Resonant interactions and ill-posedness for periodic nonlinear dispersive equations[Invited] Resonant interactions and ill-posedness for periodic nonlinear dispersive equations [Invited] Resonant interactions and ill-posedness for periodic nonlinear dispersive equations [Invited] Quantized Vortices and Nonlinear Waves 量子渦と非線形波動 Quantized Vortices and Nonlinear Waves 2021/02/18 English Oral presentation(invited, special) Disclose to all
Well-posedness for the kinetic DNLS equation on the torus Well-posedness for the kinetic DNLS equation on the torus Well-posedness for the kinetic DNLS equation on the torus NLPDE Seminar, Kyoto University 京都大学NLPDEセミナー NLPDE Seminar, Kyoto University 2020/05/29 Japanese Oral presentation(general) Disclose to all
Ill-posedness of a certain NLS-type equation with derivative nonlinearity on the torus[Invited] Ill-posedness of a certain NLS-type equation with derivative nonlinearity on the torus [Invited] Ill-posedness of a certain NLS-type equation with derivative nonlinearity on the torus [Invited] Analysis Seminar, The University of Edinburgh Analysis Seminar, The University of Edinburgh Analysis Seminar, The University of Edinburgh 2020/01/22 English Oral presentation(invited, special) Disclose to all
Characterization of three-dimensional Euler flows supported on finitely many Fourier modes Characterization of three-dimensional Euler flows supported on finitely many Fourier modes Characterization of three-dimensional Euler flows supported on finitely many Fourier modes RIMS Satellite Seminars "Physical and Mathematical Approaches to Geophysical Fluid Problems" 数理解析研究所合宿型セミナー『物理と数学両アプローチによる地球流体力学の諸問題の追求』 RIMS Satellite Seminars "Physical and Mathematical Approaches to Geophysical Fluid Problems" 2019/09/07 English Oral presentation(general) Disclose to all
Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus[Invited] Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus [Invited] Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus [Invited] Session 8. Function Spaces and their Applications to Nonlinear Evolutional Equations, in the 12th International ISAAC Congress Session 8. Function Spaces and their Applications to Nonlinear Evolutional Equations, in the 12th International ISAAC Congress Session 8. Function Spaces and their Applications to Nonlinear Evolutional Equations, in the 12th International ISAAC Congress 2019/08/01 English Oral presentation(invited, special) Disclose to all
Gevrey ill-posedness of third-order nonlinear Schrödinger equations on the torus[Invited] Gevrey ill-posedness of third-order nonlinear Schrödinger equations on the torus [Invited] Gevrey ill-posedness of third-order nonlinear Schrödinger equations on the torus [Invited] RIMS Symposium "Harmonic Analysis and Nonlinear Partial Differential Equations" 数理解析研究所共同研究(公開型)『調和解析と非線形偏微分方程式』 RIMS Symposium "Harmonic Analysis and Nonlinear Partial Differential Equations" 2019/07/02 English Oral presentation(invited, special) Disclose to all
Characterization of incompressible Euler flows supported on finitely many Fourier modes[Invited] Characterization of incompressible Euler flows supported on finitely many Fourier modes [Invited] Characterization of incompressible Euler flows supported on finitely many Fourier modes [Invited] 2019 CAU-RIMS Joint Workshop on Nonlinear PDEs 2019 CAU-RIMS Joint Workshop on Nonlinear PDEs 2019 CAU-RIMS Joint Workshop on Nonlinear PDEs 2019/04/25 English Oral presentation(invited, special) Disclose to all
Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus[Invited] Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus [Invited] Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus [Invited] Oberseminar Analysis, Universität Bielefeld Oberseminar Analysis, Universität Bielefeld Oberseminar Analysis, Universität Bielefeld 2019/03/12 English Oral presentation(invited, special) Disclose to all
Ill-posedness of the periodic nonlinear Schrödinger equation with third-order dispersion and Raman scattering term[Invited] Ill-posedness of the periodic nonlinear Schrödinger equation with third-order dispersion and Raman scattering term [Invited] Ill-posedness of the periodic nonlinear Schrödinger equation with third-order dispersion and Raman scattering term [Invited] Session "Recent Trends in Nonlinear Partial Differential Equations and Related Problems" in 2018 CMS Winter Meeting Session "Recent Trends in Nonlinear Partial Differential Equations and Related Problems" in 2018 CMS Winter Meeting Session "Recent Trends in Nonlinear Partial Differential Equations and Related Problems" in 2018 CMS Winter Meeting 2018/12/08 English Oral presentation(invited, special) Disclose to all
Ill-posedness of periodic third-order nonlinear Schrödinger equations[Invited] Ill-posedness of periodic third-order nonlinear Schrödinger equations [Invited] Ill-posedness of periodic third-order nonlinear Schrödinger equations [Invited] Workshop on nonlinear wave equations and related topics in Kobe Workshop on nonlinear wave equations and related topics in Kobe Workshop on nonlinear wave equations and related topics in Kobe 2018/11/19 Japanese Oral presentation(invited, special) Disclose to all
Analysis on nonlinear Schrödinger equations with higher order terms[Invited] 高階項を持つ非線形シュレディンガー方程式の解析 [Invited] Analysis on nonlinear Schrödinger equations with higher order terms [Invited] The 57th Real Analysis and Functional Analysis Joint Symposium 第57回実函数論・函数解析学合同シンポジウム The 57th Real Analysis and Functional Analysis Joint Symposium 2018/09/03 Japanese Oral presentation(invited, special) Disclose to all
Well-posedness and ill-posedness for the third order NLS with Raman scattering term[Invited] Well-posedness and ill-posedness for the third order NLS with Raman scattering term [Invited] 数理解析研究所共同研究(公開型)『保存則をもつ偏微分方程式の解の正則性、特異性および漸近挙動の研究』 数理解析研究所共同研究(公開型)『保存則をもつ偏微分方程式の解の正則性、特異性および漸近挙動の研究』 2018/05/30 Japanese Oral presentation(invited, special) Disclose to all
高階項を持つ非線形シュレディンガー方程式の解析[Invited] 高階項を持つ非線形シュレディンガー方程式の解析 [Invited] RIMS-IMI合同談話会 RIMS-IMI合同談話会 2018/03/26 Japanese Oral presentation(invited, special) Disclose to all
Nonlinear dispersive equations with almost periodic initial data[Invited] Nonlinear dispersive equations with almost periodic initial data [Invited] 津田塾大学PDE研究会 津田塾大学PDE研究会 2018/02/15 Japanese Oral presentation(invited, special) Disclose to all
Ill-posedness for the periodic third order NLS equation with Raman scattering term[Invited] Ill-posedness for the periodic third order NLS equation with Raman scattering term [Invited] Ill-posedness for the periodic third order NLS equation with Raman scattering term [Invited] Nonlinear Dispersive Equations in Kumamoto, 2018 Nonlinear Dispersive Equations in Kumamoto, 2018 Nonlinear Dispersive Equations in Kumamoto, 2018 2018/01/20 English Oral presentation(invited, special) Disclose to all
ラマン散乱項を持つ非線形シュレディンガー方程式の初期値問題の非適切性 ラマン散乱項を持つ非線形シュレディンガー方程式の初期値問題の非適切性 非線形波動現象の数理とその応用 非線形波動現象の数理とその応用 2017/10/13 Japanese Oral presentation(general) Disclose to all
Ill-posedness of the third order NLS equations with Raman scattering term Ill-posedness of the third order NLS equations with Raman scattering term 日本数学会2017年度秋季総合分科会 日本数学会2017年度秋季総合分科会 2017/09/13 Japanese Oral presentation(general) Disclose to all
Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain[Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] Mathematical Analysis in Fluid and Gas Dynamics Mathematical Analysis in Fluid and Gas Dynamics Mathematical Analysis in Fluid and Gas Dynamics 2017/07/05 English Oral presentation(invited, special) Disclose to all
Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain[Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] Probabilistic Perspectives in Nonlinear PDEs Probabilistic Perspectives in Nonlinear PDEs Probabilistic Perspectives in Nonlinear PDEs 2017/06/05 English Oral presentation(invited, special) Disclose to all
Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain[Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] 広島数理解析セミナー 広島数理解析セミナー 2017/05/12 Japanese Oral presentation(invited, special) Disclose to all
Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain[Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] The 14th Japanese-German International Workshop on Mathematical Fluid Dynamics The 14th Japanese-German International Workshop on Mathematical Fluid Dynamics The 14th Japanese-German International Workshop on Mathematical Fluid Dynamics 2017/03/08 English Oral presentation(invited, special) Disclose to all
Unconditional uniqueness for nonlinear dispersive equations via normal form reductions of Poincare-Dulac type[Invited] Unconditional uniqueness for nonlinear dispersive equations via normal form reductions of Poincare-Dulac type [Invited] Saga Workshop on Partial Differential Equations Saga Workshop on Partial Differential Equations 2017/03/07 Japanese Oral presentation(invited, special) Disclose to all
Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain[Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] 若手による流体力学の基礎方程式研究集会 若手による流体力学の基礎方程式研究集会 2017/01/09 Japanese Oral presentation(invited, special) Disclose to all
Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections[Invited] Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections [Invited] Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections [Invited] 2016 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems 2016 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems 2016 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems 2016/12/25 English Oral presentation(invited, special) Disclose to all
Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain[Invited] Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain [Invited] 名古屋微分方程式セミナー 名古屋微分方程式セミナー 2016/11/21 Japanese Oral presentation(invited, special) Disclose to all
Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections[Invited] Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections [Invited] 第3回「量子渦と非線形波動」 第3回「量子渦と非線形波動」 2016/11/09 Japanese Oral presentation(invited, special) Disclose to all
Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain[Invited] Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain [Invited] 九州関数方程式セミナー 九州関数方程式セミナー 2016/10/07 Japanese Oral presentation(invited, special) Disclose to all
Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections 日本数学会2016年度秋季総合分科会 日本数学会2016年度秋季総合分科会 2016/09/15 Japanese Oral presentation(general) Disclose to all
Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections[Invited] Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections [Invited] Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections [Invited] International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics" International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics" International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics" 2016/07/20 English Oral presentation(invited, special) Disclose to all
Unconditional uniqueness for nonlinear dispersive equations[Invited] Unconditional uniqueness for nonlinear dispersive equations [Invited] Unconditional uniqueness for nonlinear dispersive equations [Invited] Workshop on Nonlinear Dispersive PDE; long time dynamics, boundary value problems, integrability Workshop on Nonlinear Dispersive PDE; long time dynamics, boundary value problems, integrability Workshop on Nonlinear Dispersive PDE; long time dynamics, boundary value problems, integrability 2016/07/11 English Oral presentation(invited, special) Disclose to all
Limit behavior problem for some nonlinear dispersive equations with higher order corrections[Invited] Limit behavior problem for some nonlinear dispersive equations with higher order corrections [Invited] 数理解析研究所共同研究『線形及び非線形分散型方程式に関する最近の進展』 数理解析研究所共同研究『線形及び非線形分散型方程式に関する最近の進展』 2016/05/16 Japanese Oral presentation(invited, special) Disclose to all
Unconditional uniqueness for periodic nonlinear dispersive equations[Invited] Unconditional uniqueness for periodic nonlinear dispersive equations [Invited] Unconditional uniqueness for periodic nonlinear dispersive equations [Invited] FDP Analysis Seminar FDP Analysis Seminar FDP Analysis Seminar 2016/03/17 English Oral presentation(invited, special) Disclose to all
Nonlinear dispersive equations with periodic boundary conditions[Invited] Nonlinear dispersive equations with periodic boundary conditions [Invited] Nonlinear dispersive equations with periodic boundary conditions [Invited] East Asian Core Doctorial Forum on Mathematics 2016 East Asian Core Doctorial Forum on Mathematics 2016 East Asian Core Doctorial Forum on Mathematics 2016 2016/01/09 English Oral presentation(invited, special) Disclose to all
Unconditional uniqueness for the modified Benjamin-Ono equation[Invited] Unconditional uniqueness for the modified Benjamin-Ono equation [Invited] Unconditional uniqueness for the modified Benjamin-Ono equation [Invited] Workshop on Hyperbolic and Dispersive PDEs in Sendai Workshop on Hyperbolic and Dispersive PDEs in Sendai Workshop on Hyperbolic and Dispersive PDEs in Sendai 2015/12/17 English Oral presentation(invited, special) Disclose to all
Uniqueness problem for some nonlinear Schrodinger equations and application[Invited] Uniqueness problem for some nonlinear Schrodinger equations and application [Invited] 第5回弘前非線形方程式研究会 第5回弘前非線形方程式研究会 2015/12/12 Japanese Oral presentation(invited, special) Disclose to all
Nonlinear dispersive equations with periodic boundary conditions[Invited] Nonlinear dispersive equations with periodic boundary conditions [Invited] Nonlinear dispersive equations with periodic boundary conditions [Invited] The 8th International Conference on Science and Mathematics Education in Developing Countries The 8th International Conference on Science and Mathematics Education in Developing Countries The 8th International Conference on Science and Mathematics Education in Developing Countries 2015/12/04 English Oral presentation(invited, special) Disclose to all
Unconditional uniqueness of solutions for nonlinear dispersive equations[Invited] Unconditional uniqueness of solutions for nonlinear dispersive equations [Invited] Unconditional uniqueness of solutions for nonlinear dispersive equations [Invited] 2015 CAU-Kyoto U. Joint Workshop on Nonlinear PDEs 2015 CAU-Kyoto U. Joint Workshop on Nonlinear PDEs 2015 CAU-Kyoto U. Joint Workshop on Nonlinear PDEs 2015/09/21 English Oral presentation(invited, special) Disclose to all
非線形分散型方程式の解の無条件一意性について[Invited] 非線形分散型方程式の解の無条件一意性について [Invited] 日本数学会2015年度秋季総合分科会(特別講演) 日本数学会2015年度秋季総合分科会(特別講演) 2015/09/13 Japanese Oral presentation(invited, special) Disclose to all
Unconditional uniqueness of solutions for nonlinear dispersive equations[Invited] Unconditional uniqueness of solutions for nonlinear dispersive equations [Invited] Unconditional uniqueness of solutions for nonlinear dispersive equations [Invited] The 40th Sapporo Symposium on Partial Differential Equations 第40回偏微分方程式論札幌シンポジウム The 40th Sapporo Symposium on Partial Differential Equations 2015/08/19 English Oral presentation(invited, special) Disclose to all
Remark on the Strichartz estimates for the Schrodinger equation on two-dimensional tori[Invited] Remark on the Strichartz estimates for the Schrodinger equation on two-dimensional tori [Invited] 数理解析研究所共同研究『線形および非線形分散型方程式の研究』 数理解析研究所共同研究『線形および非線形分散型方程式の研究』 2015/05/18 Japanese Oral presentation(invited, special) Disclose to all
Unconditional uniqueness for periodic nonlinear dispersive equations[Invited] Unconditional uniqueness for periodic nonlinear dispersive equations [Invited] Unconditional uniqueness for periodic nonlinear dispersive equations [Invited] Critical Exponents and Nonlinear Evolution Equation 2015 Critical Exponents and Nonlinear Evolution Equation 2015 Critical Exponents and Nonlinear Evolution Equation 2015 2015/02/21 English Oral presentation(invited, special) Disclose to all
Some topics on nonlinear dispersive equations on the torus[Invited] Some topics on nonlinear dispersive equations on the torus [Invited] 第12 回城崎新人セミナー 第12 回城崎新人セミナー 2015/02/16 Japanese Oral presentation(invited, special) Disclose to all
Unconditional uniqueness for periodic nonlinear dispersive equations[Invited] Unconditional uniqueness for periodic nonlinear dispersive equations [Invited] 第12 回浜松偏微分方程式研究集会 第12 回浜松偏微分方程式研究集会 2014/12/23 Japanese Oral presentation(invited, special) Disclose to all
Normal form reduction for the unconditional uniqueness of periodic nonlinear dispersive equations Normal form reduction for the unconditional uniqueness of periodic nonlinear dispersive equations 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2014/09/28 Japanese Oral presentation(general) Disclose to all
Unconditional uniqueness for periodic nonlinear dispersive equations[Invited] Unconditional uniqueness for periodic nonlinear dispersive equations [Invited] 数理解析研究所研究集会『偏微分方程式に付随する確率論的問題』 数理解析研究所研究集会『偏微分方程式に付随する確率論的問題』 2014/09/18 Japanese Oral presentation(invited, special) Disclose to all
Normal form reduction for unconditional uniqueness of periodic nonlinear dispersive equations[Invited] Normal form reduction for unconditional uniqueness of periodic nonlinear dispersive equations [Invited] 数理解析研究所共同研究『線形および非線形分散型方程式に関する最近の進展』 数理解析研究所共同研究『線形および非線形分散型方程式に関する最近の進展』 2014/05/22 Japanese Oral presentation(invited, special) Disclose to all
Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2013/09/27 Japanese Oral presentation(general) Disclose to all
Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation[Invited] Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation [Invited] 第2回岐阜数理科学研究会 第2回岐阜数理科学研究会 2013/09/18 Japanese Oral presentation(invited, special) Disclose to all
Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation 数理解析研究所共同研究『線形および非線形分散型方程式の研究』 数理解析研究所共同研究『線形および非線形分散型方程式の研究』 2013/05/20 Japanese Oral presentation(general) Disclose to all
Well-posedness for the cubic nonlinear Schrodinger equation on two-dimensional torus Well-posedness for the cubic nonlinear Schrodinger equation on two-dimensional torus 日本数学会年会 日本数学会年会 2013/03/22 Japanese Oral presentation(general) Disclose to all
Well-posedness for a nonlinear Schrodinger equation on two-dimensional tori Well-posedness for a nonlinear Schrodinger equation on two-dimensional tori Well-posedness for a nonlinear Schrodinger equation on two-dimensional tori Kyoto RIMS - SNU Workshop Kyoto RIMS - SNU Workshop Kyoto RIMS - SNU Workshop 2013/02/18 English Poster presentation Disclose to all
Well-posedness for a nonlinear Schrödinger equation on 2D torus[Invited] Well-posedness for a nonlinear Schrödinger equation on 2D torus [Invited] Well-posedness for a nonlinear Schrödinger equation on 2D torus [Invited] CAU-Kyoto University Joint Workshop on Nonlinear PDEs CAU-Kyoto University Joint Workshop on Nonlinear PDEs CAU-Kyoto University Joint Workshop on Nonlinear PDEs 2013/02/16 English Oral presentation(invited, special) Disclose to all
Finite-time blowup for the Zakharov system on 2D torus Finite-time blowup for the Zakharov system on 2D torus Finite-time blowup for the Zakharov system on 2D torus UK-Japan Winter School: Nonlinear Analysis UK-Japan Winter School: Nonlinear Analysis UK-Japan Winter School: Nonlinear Analysis 2013/01/08 English Oral presentation(general) Disclose to all
Well-posedness for nonlinear Schrödinger equations with periodic boundary conditions[Invited] Well-posedness for nonlinear Schrödinger equations with periodic boundary conditions [Invited] Well-posedness for nonlinear Schrödinger equations with periodic boundary conditions [Invited] Linear and Nonlinear Waves, No. 10 Linear and Nonlinear Waves, No. 10 Linear and Nonlinear Waves, No. 10 2012/10/31 English Oral presentation(invited, special) Disclose to all
Construction of blow-up solutions for the Zakharov system on two dimensional torus[Invited] Construction of blow-up solutions for the Zakharov system on two dimensional torus [Invited] Construction of blow-up solutions for the Zakharov system on two dimensional torus [Invited] Evolution Equations of Physics, Fluids, and Geometry Evolution Equations of Physics, Fluids, and Geometry Evolution Equations of Physics, Fluids, and Geometry 2012/09/10 English Oral presentation(invited, special) Disclose to all
Remark on some periodic nonlinear Schrodinger equations[Invited] Remark on some periodic nonlinear Schrodinger equations [Invited] 数理解析研究所共同研究『非線形分散型方程式における最近の進展』 数理解析研究所共同研究『非線形分散型方程式における最近の進展』 2012/05/24 Japanese Oral presentation(invited, special) Disclose to all
Nonlinear Partial Differential Equations and Well-posedness of Initial Value Problem 非線形偏微分方程式と初期値問題の適切性 Nonlinear Partial Differential Equations and Well-posedness of Initial Value Problem "Hakubi Cosmology 2012" - The Second Annual Report Meeting of The Hakubi Center for Advanced Research 白眉プロジェクト年次報告会『白眉のコスモロジー2012』 "Hakubi Cosmology 2012" - The Second Annual Report Meeting of The Hakubi Center for Advanced Research 2012/04/14 English Poster presentation Disclose to all
Remark on the L2-critical nonlinear Schrodinger equation on torus Remark on the L2-critical nonlinear Schrodinger equation on torus 日本数学会年会 日本数学会年会 2012/03/28 Japanese Oral presentation(general) Disclose to all
Blow-up solution for the Zakharov system on two-dimensional torus[Invited] Blow-up solution for the Zakharov system on two-dimensional torus [Invited] 若手のための偏微分方程式と数学解析 若手のための偏微分方程式と数学解析 2012/02/13 Japanese Oral presentation(invited, special) Disclose to all
Blow-up solution for the Zakharov system on 2D torus Blow-up solution for the Zakharov system on 2D torus 第3回白浜研究集会 第3回白浜研究集会 2011/12/13 Japanese Oral presentation(general) Disclose to all
Blow-up solution for the Zakharov system on 2D torus Blow-up solution for the Zakharov system on 2D torus 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2011/10/01 Japanese Oral presentation(general) Disclose to all
Local well-posedness for the Zakharov system on torus Local well-posedness for the Zakharov system on torus 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2011/10/01 Japanese Oral presentation(general) Disclose to all
Global well-posedness for the 2D Zakharov system[Invited] Global well-posedness for the 2D Zakharov system [Invited] 数理解析研究所共同研究『非線形双曲型および分散型方程式の研究』 数理解析研究所共同研究『非線形双曲型および分散型方程式の研究』 2011/05/25 Japanese Oral presentation(invited, special) Disclose to all
Local well-posedness for the Zakharov system on torus[Invited] Local well-posedness for the Zakharov system on torus [Invited] Local well-posedness for the Zakharov system on torus [Invited] The 28th Kyushu Symposium on Partial Differential Equations 第28回九州における偏微分方程式研究集会 The 28th Kyushu Symposium on Partial Differential Equations 2011/01/25 English Oral presentation(invited, special) Disclose to all
Local well-posedness for the Zakharov system on torus[Invited] Local well-posedness for the Zakharov system on torus [Invited] Local well-posedness for the Zakharov system on torus [Invited] 19th Workshop on Differential Equations and Its Applications 19th Workshop on Differential Equations and Its Applications 19th Workshop on Differential Equations and Its Applications 2011/01/16 English Oral presentation(invited, special) Disclose to all
Well-posedness for nonlinear dispersive equations and nonlinear interactions[Invited] Well-posedness for nonlinear dispersive equations and nonlinear interactions [Invited] 微分方程式の総合的研究 微分方程式の総合的研究 日本数学会函数方程式論分科会 日本数学会函数方程式論分科会 2010/12/19 Japanese Oral presentation(invited, special) Disclose to all
Local well-posedness for the Zakharov system on torus Local well-posedness for the Zakharov system on torus 第2回白浜研究集会 第2回白浜研究集会 2010/12/01 Japanese Oral presentation(general) Disclose to all
Local well-posedness for the "good" Boussinesq equation on torus Local well-posedness for the "good" Boussinesq equation on torus 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2010/09/24 Japanese Oral presentation(general) Disclose to all
“good” Boussinesq方程式の初期値問題の適切性とFourier制限法 “good” Boussinesq方程式の初期値問題の適切性とFourier制限法 第32回発展方程式若手セミナー 第32回発展方程式若手セミナー 2010/08/30 Japanese Oral presentation(general) Disclose to all
Local well-posedness for a quadratic nonlinear Schr¨odinger equation on torus[Invited] Local well-posedness for a quadratic nonlinear Schr¨odinger equation on torus [Invited] 数理解析研究所共同研究『非線形波動・分散型方程式の研究』 数理解析研究所共同研究『非線形波動・分散型方程式の研究』 2010/05/27 Japanese Oral presentation(invited, special) Disclose to all
非線形発展方程式の初期値問題の適切性 非線形発展方程式の初期値問題の適切性 第1回解析系白浜研究集会 第1回解析系白浜研究集会 2009/12/01 Japanese Oral presentation(general) Disclose to all
Well-posedness of the Cauchy problem for the KdV equation at the critical regularity[Invited] Well-posedness of the Cauchy problem for the KdV equation at the critical regularity [Invited] Well-posedness of the Cauchy problem for the KdV equation at the critical regularity [Invited] RIMS Workshop "Well-posedness and Scattering for Nonlinear Dispersive and Wave Equations" 数理解析研究所研究集会『非線形分散型方程式・波動方程式の初期値問題の適切性と散乱理論』 RIMS Workshop "Well-posedness and Scattering for Nonlinear Dispersive and Wave Equations" 2009/11/01 English Oral presentation(invited, special) Disclose to all
Well-posedness of the Cauchy problem for the KdV equation at the critical regularity[Invited] Well-posedness of the Cauchy problem for the KdV equation at the critical regularity [Invited] Well-posedness of the Cauchy problem for the KdV equation at the critical regularity [Invited] RIMS Workshop "Nonlinear Evolution Equations and Mathematical Modeling" 数理解析研究所研究集会『非線形発展方程式と現象の数理』 RIMS Workshop "Nonlinear Evolution Equations and Mathematical Modeling" 2009/10/01 English Oral presentation(invited, special) Disclose to all
Counterexamples to bilinear estimates for the KdV equation in Besov-type Bourgain spaces Counterexamples to bilinear estimates for the KdV equation in Besov-type Bourgain spaces 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2009/09/01 Japanese Oral presentation(general) Disclose to all
Well-posedness of the Cauchy problem for the KdV equation at the critical regularity[Invited] Well-posedness of the Cauchy problem for the KdV equation at the critical regularity [Invited] Well-posedness of the Cauchy problem for the KdV equation at the critical regularity [Invited] RIMS Workshop "Harmonic Analysis and Nonlinear Partial Differential Equations" 数理解析研究所研究集会『調和解析と非線形偏微分方程式』 RIMS Workshop "Harmonic Analysis and Nonlinear Partial Differential Equations" 2009/07/01 English Oral presentation(invited, special) Disclose to all
Local well-posedness for quadratic nonlinear Schrodinger equations Local well-posedness for quadratic nonlinear Schrodinger equations 第19回『微分方程式と数理物理』 第19回『微分方程式と数理物理』 2009/03/01 Japanese Oral presentation(general) Disclose to all
実数直線上のKdV方程式の初期値問題の適切性 実数直線上のKdV方程式の初期値問題の適切性 第30回発展方程式若手セミナー 第30回発展方程式若手セミナー 2008/09/11 Japanese Oral presentation(general) Disclose to all
実数直線上のKdV,modified KdV方程式の初期値問題の適切性 実数直線上のKdV,modified KdV方程式の初期値問題の適切性 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2008/09/01 Japanese Oral presentation(general) Disclose to all
非線形項u\bar{u}をもつ1次元Schrodinger方程式の初期値問題の適切性について 非線形項u\bar{u}をもつ1次元Schrodinger方程式の初期値問題の適切性について 日本数学会年会 日本数学会年会 2008/03/01 Japanese Oral presentation(general) Disclose to all
Low-regularity local well-posedness for quadratic nonlinear Schrodinger equations Low-regularity local well-posedness for quadratic nonlinear Schrodinger equations Low-regularity local well-posedness for quadratic nonlinear Schrodinger equations 京都大学−ソウル大学−香港中文大学若手数学者交流会 京都大学−ソウル大学−香港中文大学若手数学者交流会 京都大学−ソウル大学−香港中文大学若手数学者交流会 2008/02/01 English Poster presentation Disclose to all
2次の非線形項を持つ1次元Schrodinger方程式の初期値問題の適切性について 2次の非線形項を持つ1次元Schrodinger方程式の初期値問題の適切性について 日本数学会秋季総合分科会 日本数学会秋季総合分科会 2007/09/01 Japanese Oral presentation(general) Disclose to all
Local well-posedness results for 1-D quadratic nonlinear Schrödinger equations[Invited] Local well-posedness results for 1-D quadratic nonlinear Schrödinger equations [Invited] Local well-posedness results for 1-D quadratic nonlinear Schrödinger equations [Invited] RIMS Workshop "Harmonic Analysis and Nonlinear Partial Differential Equations" 数理解析研究所研究集会『調和解析と非線形偏微分方程式』 RIMS Workshop "Harmonic Analysis and Nonlinear Partial Differential Equations" 2007/07/01 English Oral presentation(invited, special) Disclose to all
あるクラスの非線形方程式の“不適切性” について[Invited] あるクラスの非線形方程式の“不適切性” について [Invited] 数理解析研究所共同研究『非線形波動および分散型方程式に関する研究』 数理解析研究所共同研究『非線形波動および分散型方程式に関する研究』 2007/05/01 Japanese Oral presentation(invited, special) Disclose to all

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Title language:
Awards
Title(Japanese) Title(English) Organization name(Japanese) Organization name(English) Date
2009年度日本数学会賞建部賢弘奨励賞 2009 MSJ Takebe Katahiro Prize for Encouragement of Young Researchers 日本数学会 The Mathematical Society of Japan 2009/09/
2009年度京都大学総長賞 2009 Kyoto University President Award 京都大学 Kyoto University 2010/03/
Study / Research groups you organized
Group name Organization name Date
数理解析研究所共同研究『線形および非線形分散型方程式の研究』 2013/05/
数理解析研究所合宿型セミナー「Workshop on Linear and Nonlinear Dispersive Equations and Related Topics」 2017/05/22
数理解析研究所共同研究(公開型)「非線形波動・分散型方程式」 2017/08/30
2019 CAU-RIMS Joint Workshop on Nonlinear PDEs 2019/04/25
数理解析研究所合宿型セミナー『Physical and mathematical approaches to geophysical fluid problems』 2019/09/07
Nonlinear and Stochastic Partial Differential Equations 2019/11/09
External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
Type Position Title(Japanese) Title(English) Period
特別研究員奨励費 Representative フーリエ制限法による非線形分散型偏微分方程式の適切性の解明 2008/04/01-2011/03/31
研究活動スタート支援 Representative 周期境界条件下における非線形分散型偏微分方程式の初期値問題の適切性 2011/08/24-2012/03/31
若手研究(B) Representative 非線形分散型方程式の初期値問題に対する空間周期的な解の存在と大域挙動 2012/04/01-2016/03/31
基盤研究(S) Assignment 非線形発展方程式の凝縮現象と解の構造 2012/04/01-2016/03/31
若手研究(B) Representative 非線形分散型方程式の初期値問題に対する空間周期的な解の存在と大域挙動 (平成27年度分) 2015/04/01-2016/03/31
若手研究(B) Representative 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究 (平成28年度分) 2016/04/01-2017/03/31
若手研究(B) Representative 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究 (平成29年度分) 2017/04/01-2018/03/31
若手研究(B) Representative 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究 (平成30年度分) 2018/04/01-2019/03/31
若手研究(B) Representative 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究 (2019年度分) 2019/04/01-2020/03/31
基盤研究(C) Representative 分散性を持つ非線形波動における共鳴相互作用の役割の究明(2020年度分) 2020/04/01-2021/03/31
若手研究(B) Representative 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究 (2020年度分) 2020/04/01-2021/03/31

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Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
解析学演義II Exercises in Analysis II 後期 理学部 2014/04-2015/03
数値解析セミナー研究A Seminar on Numerical Analysis A 前期 理学研究科 2014/04-2015/03
数値解析セミナー研究B Seminar on Numerical Analysis B 後期 理学研究科 2014/04-2015/03
数値解析セミナー研究C Seminar on Numerical Analysis C 前期 理学研究科 2014/04-2015/03
数値解析セミナー研究D Seminar on Numerical Analysis D 後期 理学研究科 2014/04-2015/03
数値解析セミナー研究A Seminar on Numerical Analysis A 前期 理学研究科 2015/04-2016/03
数値解析セミナー研究B Seminar on Numerical Analysis B 後期 理学研究科 2015/04-2016/03
数値解析セミナー研究C Seminar on Numerical Analysis C 前期 理学研究科 2015/04-2016/03
数値解析セミナー研究D Seminar on Numerical Analysis D 後期 理学研究科 2015/04-2016/03
解析学演義II Exercises in Analysis II 後期 理学部 2015/04-2016/03
数値解析セミナー研究A Seminar on Numerical Analysis A 前期 理学研究科 2016/04-2017/03
数値解析セミナー研究B Seminar on Numerical Analysis B 後期 理学研究科 2016/04-2017/03
数値解析セミナー研究C Seminar on Numerical Analysis C 前期 理学研究科 2016/04-2017/03
数値解析セミナー研究D Seminar on Numerical Analysis D 後期 理学研究科 2016/04-2017/03
数学講究 Mathematics seminary 通年 理学部 2016/04-2017/03
数学講究 Mathematics seminary 通年 理学部 2017/04-2018/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2017/04-2018/03
偏微分方程式セミナー研究a Seminar on Partial Differential Equations a 前期 理学研究科 2018/04-2019/03
偏微分方程式セミナー研究b Seminar on Partial Differential Equations b 後期 理学研究科 2018/04-2019/03
偏微分方程式セミナー研究c Seminar on Partial Differential Equations c 前期 理学研究科 2018/04-2019/03
偏微分方程式セミナー研究d Seminar on Partial Differential Equations d 後期 理学研究科 2018/04-2019/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2018/04-2019/03
偏微分方程式セミナー研究a Seminar on Partial Differential Equations a 前期 理学研究科 2019/04-2020/03
偏微分方程式セミナー研究b Seminar on Partial Differential Equations b 後期 理学研究科 2019/04-2020/03
偏微分方程式セミナー研究c Seminar on Partial Differential Equations c 前期 理学研究科 2019/04-2020/03
偏微分方程式セミナー研究d Seminar on Partial Differential Equations d 後期 理学研究科 2019/04-2020/03
数学講究 Mathematics seminary 通年 理学部 2019/04-2020/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2019/04-2020/03
偏微分方程式セミナー研究a Seminar on Partial Differential Equations a 前期 理学研究科 2020/04-2021/03
偏微分方程式セミナー研究b Seminar on Partial Differential Equations b 後期 理学研究科 2020/04-2021/03
偏微分方程式セミナー研究c Seminar on Partial Differential Equations c 前期 理学研究科 2020/04-2021/03
偏微分方程式セミナー研究d Seminar on Partial Differential Equations d 後期 理学研究科 2020/04-2021/03
現代の数学と数理解析-基礎概念とその諸科学への広がり Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences 前期 全学共通科目 2020/04-2021/03
解析学特論II Advanced Analysis II 後期 理学部 2020/04-2021/03
解析学特論B Topics in Analysis B 後期 理学研究科 2020/04-2021/03
偏微分方程式セミナー研究a Seminar on Partial Differential Equations a 前期 理学研究科 2021/04-2022/03
偏微分方程式セミナー研究b Seminar on Partial Differential Equations b 後期 理学研究科 2021/04-2022/03
偏微分方程式セミナー研究c Seminar on Partial Differential Equations c 前期 理学研究科 2021/04-2022/03
偏微分方程式セミナー研究d Seminar on Partial Differential Equations d 後期 理学研究科 2021/04-2022/03

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Academic organizaions (conference chair)
Organization name Group name Date
日本数学会 第11回 MSJ-SI “The Role of Metrics in the Theory of Partial Differential Equations” 2日目 Session B(前半) 2018/07/03
Other activities
Meeting Title Date
数理解析研究所 数学入門公開講座 微分方程式を解く 2016/08/01
第14回 吉田塾・数学入門合宿 関数解析入門 -ヒルベルト空間と線形作用素を中心に- 2016/08/30
第14回 吉田塾連続講義 関数解析と非線形偏微分方程式 2017/01/16
Other activities (magazines and newspapers)
Title Contents Media Column Date
解とは何か 微分方程式について一般向けに解説した記事(7ページ) 雑誌「数理科学 No.665」 特集『微分方程式の考え方』内 2018/11/
微分方程式における問題設定 微分方程式について一般向けに解説した記事(9ページ) 雑誌「数理科学 No.676」 特集『現代数学の捉え方[解析編]』内 2019/10/
Experience of living abroad
Organization Department Research theme Country Period
University of Chicago Department of Mathematics Research on nonlinear dispersive equations United States 2013/10/28-2014/04/19