# 堤 誉志雄

1985/04/01〜1990/03/31 広島大学総合科学部 Faculty of Integrated Arts and Sciences, Hiroshima University 助手，講師，助教授 Assistant, Lecturer, Associate Professor
1990/04/01〜1991/09/30 名古屋大学理学部 Faculty of Science, Nagoya University 助教授 Associate Professor
1991/10/01〜1999/03/31 東京大学大学院数理科学研究科 Graduate School of Mathematical Sciences, University of Tokyo 助教授 Associate Professor
1999/04/01〜2004/03/31 東北大学大学院理学研究科 Graduate School of Science, Tohoku University 教授 Professor
2004/04/01〜 京都大学大学院理学研究科 Graduate School of Science, Kyoto University 教授 Professor
プロフィール
(日本語)

(英語)
I study the well-posedness (i.e., solvability, uniqueness of soluion and continuous dependence of solution on initial data) and the asymptotic behavior at large time of solution for nonlinear evolution equations such as nonlinear Schrodinger equations and nonlinear wave equations, which describe the propagation of nonlinear waves.
researchmap URL
https://researchmap.jp/7000008621

T. Miyaji and Y. Tsutsumi T. Miyaji and Y. Tsutsumi T. Miyaji and Y. Tsutsumi Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces Differential Integral Equations, 34, 1-2, 111-132 Differential Integral Equations, 34, 1-2, 111-132 Differential Integral Equations, 34, 1-2, 111-132 2018 英語
T. Miyaji and Y. Tsutsumi T. Miyaji and Y. Tsutsumi T. Miyaji and Y. Tsutsumi Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on $\mathbf{T}$ Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on $\mathbf{T}$ Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on $\mathbf{T}$ Ann. Inst. H. Poincare, Anal. Non Lineaire, 34, 7, 1707-1725 Ann. Inst. H. Poincare, Anal. Non Lineaire, 34, 7, 1707-1725 Ann. Inst. H. Poincare, Anal. Non Lineaire, 34, 7, 1707-1725 2017 英語
A. Debussche; Y. Tsutsumi A. Debussche; Y. Tsutsumi A. Debussche; Y. Tsutsumi 1D quintic nonlinear Schrödinger equation with white noise dispersion 1D quintic nonlinear Schrödinger equation with white noise dispersion 1D quintic nonlinear Schrödinger equation with white noise dispersion Journal des Mathematiques Pures et Appliquees, 96, 4, 363-376 Journal des Mathematiques Pures et Appliquees, 96, 4, 363-376 Journal des Mathematiques Pures et Appliquees, 96, 4, 363-376 2011 英語
T. Miyaji; I. Ohnishi; Y. Tsutsumi T. Miyaji; I. Ohnishi; Y. Tsutsumi T. Miyaji; I. Ohnishi; Y. Tsutsumi Stability of a stationary solution for the Lugiato-Lefever equation Stability of a stationary solution for the Lugiato-Lefever equation Stability of a stationary solution for the Lugiato-Lefever equation Tohoku Mathematical Journal, 63, 4, 651-663 Tohoku Mathematical Journal, 63, 4, 651-663 Tohoku Mathematical Journal, 63, 4, 651-663 2011 英語
K. Nakanishi; H. Takaoka; Y. Tsutsumi K. Nakanishi; H. Takaoka; Y. Tsutsumi K. Nakanishi; H. Takaoka; Y. Tsutsumi Local well-posedness in low regularity of the mkdv equation with periodic boundary condition Local well-posedness in low regularity of the mkdv equation with periodic boundary condition Local well-posedness in low regularity of the mkdv equation with periodic boundary condition Discrete and Continuous Dynamical Systems, 28, 4, 1635-1654 Discrete and Continuous Dynamical Systems, 28, 4, 1635-1654 Discrete and Continuous Dynamical Systems, 28, 4, 1635-1654 2010/12 英語
T. Miyaji; I. Ohnishi; Y. Tsutsumi T. Miyaji; I. Ohnishi; Y. Tsutsumi T. Miyaji; I. Ohnishi; Y. Tsutsumi Bifurcation analysis to the LugiatoLefever equation in one space dimension Bifurcation analysis to the LugiatoLefever equation in one space dimension Bifurcation analysis to the LugiatoLefever equation in one space dimension Physica D: Nonlinear Phenomena, 239, 23-24, 2066-2083 Physica D: Nonlinear Phenomena, 239, 23-24, 2066-2083 Physica D: Nonlinear Phenomena, 239, 23-24, 2066-2083 2010 英語
A. De Bouard; A. Debussche; Y. Tsutsumi A. De Bouard; A. Debussche; Y. Tsutsumi A. De Bouard; A. Debussche; Y. Tsutsumi Periodic solutions of the korteweg-de vries equation driven by white noise Periodic solutions of the korteweg-de vries equation driven by white noise Periodic solutions of the korteweg-de vries equation driven by white noise SIAM Journal on Mathematical Analysis, 36, 3, 815-855 SIAM Journal on Mathematical Analysis, 36, 3, 815-855 SIAM Journal on Mathematical Analysis, 36, 3, 815-855 2005 英語
H. Takaoka; Y. Tsutsumi H. Takaoka; Y. Tsutsumi H. Takaoka; Y. Tsutsumi Well-posedness of the cauchy problem for the modified KdV equation with periodic boundary condition Well-posedness of the cauchy problem for the modified KdV equation with periodic boundary condition Well-posedness of the cauchy problem for the modified KdV equation with periodic boundary condition International Mathematics Research Notices, 56, 3009-3040 International Mathematics Research Notices, 56, 3009-3040 International Mathematics Research Notices, 56, 3009-3040 2004 英語
Y. Tsutsumi Y. Tsutsumi Y. Tsutsumi Global solutions for the Dirac-Proca equations with small initial data in 3 + 1 space time dimensions Global solutions for the Dirac-Proca equations with small initial data in 3 + 1 space time dimensions Global solutions for the Dirac-Proca equations with small initial data in 3 + 1 space time dimensions Journal of Mathematical Analysis and Applications, 278, 2, 485-499 Journal of Mathematical Analysis and Applications, 278, 2, 485-499 Journal of Mathematical Analysis and Applications, 278, 2, 485-499 2003 英語
K. Moriyama; S. Tonegawa; Y. Tsutsumi K. Moriyama; S. Tonegawa; Y. Tsutsumi K. Moriyama; S. Tonegawa; Y. Tsutsumi Wave operators for the nonlinear schrödinger equation with a nonlinearity of low degree in one or two space dimensions Wave operators for the nonlinear schrödinger equation with a nonlinearity of low degree in one or two space dimensions Wave operators for the nonlinear schrödinger equation with a nonlinearity of low degree in one or two space dimensions Communications in Contemporary Mathematics, 5, 6, 983-996 Communications in Contemporary Mathematics, 5, 6, 983-996 Communications in Contemporary Mathematics, 5, 6, 983-996 2003 英語
A. De Bouard; A. Debussche; Y. Tsutsumi A. De Bouard; A. Debussche; Y. Tsutsumi A. De Bouard; A. Debussche; Y. Tsutsumi White Noise Driven Korteweg-de Vries Equation White Noise Driven Korteweg-de Vries Equation White Noise Driven Korteweg-de Vries Equation Journal of Functional Analysis, 169, 2, 532-558 Journal of Functional Analysis, 169, 2, 532-558 Journal of Functional Analysis, 169, 2, 532-558 1999 英語
T. Ozawa; K. Tsutaya; Y. Tsutsumi T. Ozawa; K. Tsutaya; Y. Tsutsumi T. Ozawa; K. Tsutaya; Y. Tsutsumi Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions Mathematische Annalen, 313, 1, 127-140 Mathematische Annalen, 313, 1, 127-140 Mathematische Annalen, 313, 1, 127-140 1999 英語
J. Ginibre; Y. Tsutsumi; G. Velo J. Ginibre; Y. Tsutsumi; G. Velo J. Ginibre; Y. Tsutsumi; G. Velo On the Cauchy problem for the Zakharov system On the Cauchy problem for the Zakharov system On the Cauchy problem for the Zakharov system Journal of Functional Analysis, 151, 2, 384-436 Journal of Functional Analysis, 151, 2, 384-436 Journal of Functional Analysis, 151, 2, 384-436 1997 英語
T. Ozawa; K. Tsutaya; Y. Tsutsumi T. Ozawa; K. Tsutaya; Y. Tsutsumi T. Ozawa; K. Tsutaya; Y. Tsutsumi Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions Mathematische Zeitschrift, 222, 3, 341-362 Mathematische Zeitschrift, 222, 3, 341-362 Mathematische Zeitschrift, 222, 3, 341-362 1996 英語
Y. Tsutsumi Y. Tsutsumi Y. Tsutsumi Global existence and asymptotic behavior of solutions for the Maxwell-Schrödinger equations in three space dimensions Global existence and asymptotic behavior of solutions for the Maxwell-Schrödinger equations in three space dimensions Global existence and asymptotic behavior of solutions for the Maxwell-Schrödinger equations in three space dimensions Communications in Mathematical Physics, 151, 3, 543-576 Communications in Mathematical Physics, 151, 3, 543-576 Communications in Mathematical Physics, 151, 3, 543-576 1993 英語
T. Ogawa; Y. Tsutsumi T. Ogawa; Y. Tsutsumi T. Ogawa; Y. Tsutsumi Blow-up of H<sup>1</sup> solution for the nonlinear Schrödinger equation Blow-up of H<sup>1</sup> solution for the nonlinear Schrödinger equation Blow-up of H<sup>1</sup> solution for the nonlinear Schrödinger equation Journal of Differential Equations, 92, 2, 317-330 Journal of Differential Equations, 92, 2, 317-330 Journal of Differential Equations, 92, 2, 317-330 1991 英語
F. Merle; Y. Tsutsumi F. Merle; Y. Tsutsumi F. Merle; Y. Tsutsumi L<sup>2</sup> concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity L<sup>2</sup> concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity L<sup>2</sup> concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity Journal of Differential Equations, 84, 2, 205-214 Journal of Differential Equations, 84, 2, 205-214 Journal of Differential Equations, 84, 2, 205-214 1990 英語
Y. Tsutsumi Y. Tsutsumi Y. Tsutsumi Rate of L<sup>2</sup> concentration of blow-up solutions for the nonlinear schrödinger equation with critical power Rate of L<sup>2</sup> concentration of blow-up solutions for the nonlinear schrödinger equation with critical power Rate of L<sup>2</sup> concentration of blow-up solutions for the nonlinear schrödinger equation with critical power Nonlinear Analysis, 15, 8, 719-724 Nonlinear Analysis, 15, 8, 719-724 Nonlinear Analysis, 15, 8, 719-724 1990 英語
J. Ginibre; Y. Tsutsumi; G. Velo J. Ginibre; Y. Tsutsumi; G. Velo J. Ginibre; Y. Tsutsumi; G. Velo Existence and uniqueness of solutions for the generalized Korteweg de Vries equation Existence and uniqueness of solutions for the generalized Korteweg de Vries equation Existence and uniqueness of solutions for the generalized Korteweg de Vries equation Mathematische Zeitschrift, 203, 1, 9-36 Mathematische Zeitschrift, 203, 1, 9-36 Mathematische Zeitschrift, 203, 1, 9-36 1990 英語
Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi Local existence of solution for the initial boundary value problem of fully nonlinear wave equation Local existence of solution for the initial boundary value problem of fully nonlinear wave equation Local existence of solution for the initial boundary value problem of fully nonlinear wave equation Nonlinear Analysis, 11, 3, 335-365 Nonlinear Analysis, 11, 3, 335-365 Nonlinear Analysis, 11, 3, 335-365 1987 英語
Y. Tsutsumi Y. Tsutsumi Y. Tsutsumi Global strong solutions for nonlinear Schrödinger equations Global strong solutions for nonlinear Schrödinger equations Global strong solutions for nonlinear Schrödinger equations Nonlinear Analysis, 11, 10, 1143-1154 Nonlinear Analysis, 11, 10, 1143-1154 Nonlinear Analysis, 11, 10, 1143-1154 1987 英語
Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain Mathematische Zeitschrift, 191, 2, 165-199 Mathematische Zeitschrift, 191, 2, 165-199 Mathematische Zeitschrift, 191, 2, 165-199 1986 英語
Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi On a Global Existence Theorem of Neumann Problem for Some Quasi-Linear Hyperbolic Equations On a Global Existence Theorem of Neumann Problem for Some Quasi-Linear Hyperbolic Equations On a Global Existence Theorem of Neumann Problem for Some Quasi-Linear Hyperbolic Equations North-Holland Mathematics Studies, 128, C, 175-228 North-Holland Mathematics Studies, 128, C, 175-228 North-Holland Mathematics Studies, 128, C, 175-228 1985 英語
Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi Y. Shibata; Y. Tsutsumi Global Existence Theorem for Nonlinear Wave Equation in Exterior Domain Global Existence Theorem for Nonlinear Wave Equation in Exterior Domain Global Existence Theorem for Nonlinear Wave Equation in Exterior Domain North-Holland Mathematics Studies, 98, C, 155-196 North-Holland Mathematics Studies, 98, C, 155-196 North-Holland Mathematics Studies, 98, C, 155-196 1984 英語

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