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Tsutsumi, Yoshio

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 Author ID: tsutsumi.yoshio Published as: Tsutsumi, Yoshio; Tsutsumi, Y.
 Documents Indexed: 80 Publications since 1983, including 5 Books
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Co-Authors

 17 single-authored 18 Ozawa, Tohru 8 Tsutaya, Kimitoshi 6 Miyaji, Tomoyuki 6 Ogawa, Takayoshi 6 Shibata, Yoshihiro 4 Debussche, Arnaud 4 Ginibre, Jean 4 Kishimoto, Nobu 4 Takaoka, Hideo 3 Nakanishi, Kenji 3 Ohnishi, Isamu 3 Velo, Giorgio 2 de Bouard, Anne 2 Kozono, Hideo 2 Merle, Frank 2 Moriyama, Kazunori 2 Shan, Minjie 2 Tanaka, Kazunaga 2 Tonegawa, Satoshi 2 Tzvetkov, Nikolay 2 Yanagida, Eiji 1 Hayashi, Nakao 1 Katayama, Soichiro 1 Oh, Tadahiro 1 Planchon, Fabrice 1 Raphael, Pierre 1 Shimomura, Akihiro 1 Win, Yin Yin Su 1 Yajima, Kenji 1 Zhang, Jian
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Serials

 5 Differential and Integral Equations 4 Proceedings of the Japan Academy. Series A 3 Funkcialaj Ekvacioj. Serio Internacia 3 Journal of Functional Analysis 3 Mathematische Zeitschrift 3 SIAM Journal on Mathematical Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Hokkaido Mathematical Journal 2 Journal of Differential Equations 2 Tohoku Mathematical Journal. Second Series 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Advances in Mathematical Sciences and Applications 2 Discrete and Continuous Dynamical Systems 2 RIMS Kokyuroku 2 Advanced Studies in Pure Mathematics 2 GAKUTO International Series. Mathematical Sciences and Applications 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Indiana University Mathematics Journal 1 Journal of the Faculty of Science. Section I A 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Physica D 1 Sugaku Expositions 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Séminaire Équations aux Dérivées Partielles 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 Matemática Contemporânea 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Dynamics of Partial Differential Equations 1 RIMS Kôkyûroku Bessatsu
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Fields

 80 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 6 Quantum theory (81-XX) 5 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX)

Citations contained in zbMATH Open

61 Publications have been cited 1,375 times in 953 Documents Cited by Year
On the Cauchy problem for the Zakharov system. Zbl 0894.35108
Ginibre, J.; Tsutsumi, Y.; Velo, G.
1997
$$L^ 2$$-solutions for nonlinear Schrödinger equations and nonlinear groups. Zbl 0638.35021
Tsutsumi, Yoshio
1987
Blow-up of $$H^ 1$$ solution for the nonlinear Schrödinger equation. Zbl 0739.35093
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
L$${}^ 2$$ concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0722.35047
Merle, Frank; Tsutsumi, Yoshio
1990
Existence and smoothing effect of solutions for the Zakharov equations. Zbl 0842.35116
Ozawa, Tohru; Tsutsumi, Yoshio
1992
Uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0702.35224
Ginibre, J.; Tsutsumi, Y.
1989
The asymptotic behavior of nonlinear Schrödinger equations. Zbl 0555.35028
Tsutsumi, Yoshio; Yajima, Kenji
1984
Blow-up of $$H^ 1$$ solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0747.35004
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
White noise driven Korteweg-de Vries equation. Zbl 0952.60062
de Bouard, A.; Debussche, A.; Tsutsumi, Y.
1999
Global solutions of the nonlinear Schrödinger equation in exterior domains. Zbl 0542.35027
Tsutsumi, Yoshio
1983
On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain. Zbl 0592.35028
Shibata, Yoshihiro; Tsutsumi, Yoshio
1986
Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions. Zbl 0935.35094
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1999
Scattering problem for nonlinear Schrödinger equations. Zbl 0612.35104
Tsutsumi, Yoshio
1985
Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions. Zbl 0877.35030
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1996
Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition. Zbl 1154.35442
Takaoka, Hideo; Tsutsumi, Yoshio
2004
Rate of $$L^ 2$$-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power. Zbl 0726.35124
Tsutsumi, Yoshio
1990
Space-time estimates for null gauge forms and nonlinear Schrödinger equations. Zbl 1008.35070
Ozawa, T.; Tsutsumi, Y.
1998
The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35163
Ozawa, Tohru; Tsutsumi, Yoshio
1992
1D quintic nonlinear Schrödinger equation with white noise dispersion. Zbl 1234.35242
Debussche, Arnaud; Tsutsumi, Yoshio
2011
Asymptotic behavior of solutions for the coupled Klein-Gordon- Schrödinger equations. Zbl 0817.35089
Ozawa, Tohru; Tsutsumi, Yoshio
1994
Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0842.35092
Ozawa, T.; Tsutaya, K.; Tsutsumi, Y.
1995
Local existence of solution for the initial boundary value problem of fully nonlinear wave equation. Zbl 0651.35053
Shibata, Yoshihiro; Tsutsumi, Yoshio
1987
Instability of optical solitons for two-wave interaction model in cubic nonlinear media. Zbl 0922.35163
Tsutsumi, Yoshio; Zhang, Jian
1998
Stability of constant equilibrium for the Maxwell-Higgs equations. Zbl 1151.58303
Tsutsumi, Yoshio
2003
Almost global existence of solutions for the quadratic semilinear Klein-Gordon equation in one space dimension. Zbl 0891.35142
Moriyama, Kazunori; Tonegawa, Satoshi; Tsutsumi, Yoshio
1997
Existence and uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0662.35114
Ginibre, J.; Tsutsumi, Y.; Velo, G.
1990
Global existence of solutions for nonlinear Schrödinger equations in one space dimension. Zbl 0832.35130
Katayama, Soichiro; Tsutsumi, Yoshio
1994
Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2010
Local energy decay of solutions to the free Schrödinger equation in exterior domains. Zbl 0551.35069
Tsutsumi, Yoshio
1984
Wave operators for the nonlinear Schrödinger equation with a nonlinearity of low degree in one or two space dimensions. Zbl 1055.35112
Moriyama, Kazunori; Tonegawa, Satoshi; Tsutsumi, Yoshio
2003
Global existence and asymptotic behavior of solutions for the Maxwell- Schrödinger equations in three space dimensions. Zbl 0766.35061
Tsutsumi, Yoshio
1993
Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2001
Global strong solutions for nonlinear Schrödinger equations. Zbl 0657.35032
Tsutsumi, Yoshio
1987
Periodic solutions of the Korteweg–de Vries equation driven by white noise. Zbl 1075.35121
De Bouard, A.; Debussche, A.; Tsutsumi, Y.
2004
Bifurcation analysis to the Lugiato-Lefever equation in one space dimension. Zbl 1211.37085
Miyaji, T.; Ohnishi, I.; Tsutsumi, Y.
2010
The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35113
Ozawa, Tohru; Tsutsumi, Yoshio
1991
Nonexistence of scattering states for some quadratic nonlinear Schrödinger equations in two space dimensions. Zbl 1212.35021
Shimomura, Akihiro; Tsutsumi, Yoshio
2006
The null gauge condition and the one dimensional nonlinear Schrödinger equation with cubic nonlinearity. Zbl 0808.35143
Tsutsumi, Yoshio
1994
Remarks on the Klein-Gordon equation with quadratic nonlinearity in two space dimensions. Zbl 0892.35137
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1997
Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrödinger equation. Zbl 1173.35696
Win, Yin Yin Su; Tsutsumi, Yoshio
2008
Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion. (Mesures gaussiennes quasi invariantes pour l’équation de Schrödinger non linéaire cubique avec dispersion d’ordre trois.) Zbl 1421.35341
Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay
2019
Remarks on the scattering problem for nonlinear Schrödinger equations. Zbl 0633.35059
Hayashi, Nakao; Tsutsumi, Yoshio
1987
Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions. Zbl 1020.35079
Tsutsumi, Yoshio
2003
The Cauchy problem for the Korteweg-de Vries equation with measures as initial data. Zbl 0679.35078
Tsutsumi, Yoshio
1989
Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. Zbl 0811.35004
Ozawa, Tohru; Tsutsumi, Yoshio
1994
Stability of a stationary solution for the Lugiato-Lefever equation. Zbl 1234.35251
Miyaji, Tomoyuki; Ohnishi, Isamu; Tsutsumi, Yoshio
2011
Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces. Zbl 1413.35409
Miyaji, Tomoyuki; Tsutsumi, Yoshio
2018
Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0569.35055
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on $$\mathbf T$$. Zbl 1391.35357
Miyaji, Tomoyuki; Tsutsumi, Yoshio
2017
On a global existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0653.35059
Shibata, Yoshihiro; Tsutsumi, Yoshio
1985
Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. Zbl 0717.35010
Ogawa, Takayoshi; Tsutsumi, Yoshio
1990
Local existence of $$C^{\infty}$$-solution for the initial-boundary value problem of fully nonlinear wave equation. Zbl 0567.35061
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
Nonlinear dispersive equations. Zbl 1134.35004
Ozawa, Tohru (ed.); Tsutsumi, Yoshio (ed.)
2006
Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in $$\mathbb{R}^2$$. Zbl 1421.35033
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio
2019
Ill-posedness of the third order NLS equation with Raman scattering term. Zbl 1410.35205
Kishimoto, Nobu; Tsutsumi, Yoshio
2018
Phénomènes de concentration pour l’équation de Schrödinger non linéaire dans le cas de la puissance critique. $$(L^ 2$$-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity). Zbl 0696.35139
Merle, Frank; Tsutsumi, Yoshio
1988
Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0815.35096
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1994
Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0564.35072
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk. Zbl 1397.35286
Miyaji, Tomoyuki; Tsutsumi, Yoshio
2018
Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space. Zbl 1435.35335
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio
2020
Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on T. Zbl 1464.35317
Debussche, Arnaud; Tsutsumi, Yoshio
2021
Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on T. Zbl 1464.35317
Debussche, Arnaud; Tsutsumi, Yoshio
2021
Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space. Zbl 1435.35335
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio
2020
Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion. (Mesures gaussiennes quasi invariantes pour l’équation de Schrödinger non linéaire cubique avec dispersion d’ordre trois.) Zbl 1421.35341
Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay
2019
Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in $$\mathbb{R}^2$$. Zbl 1421.35033
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio
2019
Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces. Zbl 1413.35409
Miyaji, Tomoyuki; Tsutsumi, Yoshio
2018
Ill-posedness of the third order NLS equation with Raman scattering term. Zbl 1410.35205
Kishimoto, Nobu; Tsutsumi, Yoshio
2018
Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk. Zbl 1397.35286
Miyaji, Tomoyuki; Tsutsumi, Yoshio
2018
Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on $$\mathbf T$$. Zbl 1391.35357
Miyaji, Tomoyuki; Tsutsumi, Yoshio
2017
1D quintic nonlinear Schrödinger equation with white noise dispersion. Zbl 1234.35242
Debussche, Arnaud; Tsutsumi, Yoshio
2011
Stability of a stationary solution for the Lugiato-Lefever equation. Zbl 1234.35251
Miyaji, Tomoyuki; Ohnishi, Isamu; Tsutsumi, Yoshio
2011
Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2010
Bifurcation analysis to the Lugiato-Lefever equation in one space dimension. Zbl 1211.37085
Miyaji, T.; Ohnishi, I.; Tsutsumi, Y.
2010
Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrödinger equation. Zbl 1173.35696
Win, Yin Yin Su; Tsutsumi, Yoshio
2008
Nonexistence of scattering states for some quadratic nonlinear Schrödinger equations in two space dimensions. Zbl 1212.35021
Shimomura, Akihiro; Tsutsumi, Yoshio
2006
Nonlinear dispersive equations. Zbl 1134.35004
Ozawa, Tohru; Tsutsumi, Yoshio
2006
Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition. Zbl 1154.35442
Takaoka, Hideo; Tsutsumi, Yoshio
2004
Periodic solutions of the Korteweg–de Vries equation driven by white noise. Zbl 1075.35121
De Bouard, A.; Debussche, A.; Tsutsumi, Y.
2004
Stability of constant equilibrium for the Maxwell-Higgs equations. Zbl 1151.58303
Tsutsumi, Yoshio
2003
Wave operators for the nonlinear Schrödinger equation with a nonlinearity of low degree in one or two space dimensions. Zbl 1055.35112
Moriyama, Kazunori; Tonegawa, Satoshi; Tsutsumi, Yoshio
2003
Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions. Zbl 1020.35079
Tsutsumi, Yoshio
2003
Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2001
White noise driven Korteweg-de Vries equation. Zbl 0952.60062
de Bouard, A.; Debussche, A.; Tsutsumi, Y.
1999
Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions. Zbl 0935.35094
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1999
Space-time estimates for null gauge forms and nonlinear Schrödinger equations. Zbl 1008.35070
Ozawa, T.; Tsutsumi, Y.
1998
Instability of optical solitons for two-wave interaction model in cubic nonlinear media. Zbl 0922.35163
Tsutsumi, Yoshio; Zhang, Jian
1998
On the Cauchy problem for the Zakharov system. Zbl 0894.35108
Ginibre, J.; Tsutsumi, Y.; Velo, G.
1997
Almost global existence of solutions for the quadratic semilinear Klein-Gordon equation in one space dimension. Zbl 0891.35142
Moriyama, Kazunori; Tonegawa, Satoshi; Tsutsumi, Yoshio
1997
Remarks on the Klein-Gordon equation with quadratic nonlinearity in two space dimensions. Zbl 0892.35137
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1997
Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions. Zbl 0877.35030
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1996
Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0842.35092
Ozawa, T.; Tsutaya, K.; Tsutsumi, Y.
1995
Asymptotic behavior of solutions for the coupled Klein-Gordon- Schrödinger equations. Zbl 0817.35089
Ozawa, Tohru; Tsutsumi, Yoshio
1994
Global existence of solutions for nonlinear Schrödinger equations in one space dimension. Zbl 0832.35130
Katayama, Soichiro; Tsutsumi, Yoshio
1994
The null gauge condition and the one dimensional nonlinear Schrödinger equation with cubic nonlinearity. Zbl 0808.35143
Tsutsumi, Yoshio
1994
Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. Zbl 0811.35004
Ozawa, Tohru; Tsutsumi, Yoshio
1994
Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0815.35096
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio
1994
Global existence and asymptotic behavior of solutions for the Maxwell- Schrödinger equations in three space dimensions. Zbl 0766.35061
Tsutsumi, Yoshio
1993
Existence and smoothing effect of solutions for the Zakharov equations. Zbl 0842.35116
Ozawa, Tohru; Tsutsumi, Yoshio
1992
The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35163
Ozawa, Tohru; Tsutsumi, Yoshio
1992
Blow-up of $$H^ 1$$ solution for the nonlinear Schrödinger equation. Zbl 0739.35093
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
Blow-up of $$H^ 1$$ solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0747.35004
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35113
Ozawa, Tohru; Tsutsumi, Yoshio
1991
L$${}^ 2$$ concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0722.35047
Merle, Frank; Tsutsumi, Yoshio
1990
Rate of $$L^ 2$$-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power. Zbl 0726.35124
Tsutsumi, Yoshio
1990
Existence and uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0662.35114
Ginibre, J.; Tsutsumi, Y.; Velo, G.
1990
Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. Zbl 0717.35010
Ogawa, Takayoshi; Tsutsumi, Yoshio
1990
Uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0702.35224
Ginibre, J.; Tsutsumi, Y.
1989
The Cauchy problem for the Korteweg-de Vries equation with measures as initial data. Zbl 0679.35078
Tsutsumi, Yoshio
1989
Phénomènes de concentration pour l’équation de Schrödinger non linéaire dans le cas de la puissance critique. $$(L^ 2$$-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity). Zbl 0696.35139
Merle, Frank; Tsutsumi, Yoshio
1988
$$L^ 2$$-solutions for nonlinear Schrödinger equations and nonlinear groups. Zbl 0638.35021
Tsutsumi, Yoshio
1987
Local existence of solution for the initial boundary value problem of fully nonlinear wave equation. Zbl 0651.35053
Shibata, Yoshihiro; Tsutsumi, Yoshio
1987
Global strong solutions for nonlinear Schrödinger equations. Zbl 0657.35032
Tsutsumi, Yoshio
1987
Remarks on the scattering problem for nonlinear Schrödinger equations. Zbl 0633.35059
Hayashi, Nakao; Tsutsumi, Yoshio
1987
On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain. Zbl 0592.35028
Shibata, Yoshihiro; Tsutsumi, Yoshio
1986
Scattering problem for nonlinear Schrödinger equations. Zbl 0612.35104
Tsutsumi, Yoshio
1985
On a global existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0653.35059
Shibata, Yoshihiro; Tsutsumi, Yoshio
1985
The asymptotic behavior of nonlinear Schrödinger equations. Zbl 0555.35028
Tsutsumi, Yoshio; Yajima, Kenji
1984
Local energy decay of solutions to the free Schrödinger equation in exterior domains. Zbl 0551.35069
Tsutsumi, Yoshio
1984
Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0569.35055
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
Local existence of $$C^{\infty}$$-solution for the initial-boundary value problem of fully nonlinear wave equation. Zbl 0567.35061
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0564.35072
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
Global solutions of the nonlinear Schrödinger equation in exterior domains. Zbl 0542.35027
Tsutsumi, Yoshio
1983
all top 5

Cited by 813 Authors

 39 Hayashi, Nakao 31 Zhang, Jian 28 Guo, Boling 26 Oh, Tadahiro 26 Tsutsumi, Yoshio 25 Ozawa, Tohru 20 Naumkin, Pavel Ivanovich 18 Gan, Zaihui 17 Ponce, Gustavo 16 Merle, Frank 15 Vega, Luis 14 Kenig, Carlos Eduardo 12 Hoshino, Gaku 11 Ginibre, Jean 11 Ogawa, Takayoshi 10 Guo, Zihua 10 Ikeda, Masahiro 10 Linares, Felipe 10 Nakamura, Makoto 10 Tzvetkov, Nikolay 10 Velo, Giorgio 10 Wang, Yuzhao 10 Zhu, Shihui 9 Carvajal, Xavier Paredes 9 Colliander, James E. 9 Kaikina, Elena Igorevna 9 Kishimoto, Nobu 9 Nakanishi, Kenji 9 Shibata, Yoshihiro 8 Corcho, Adán J. 8 Cui, Shangbin 8 Fang, Daoyuan 8 Farah, Luiz Gustavo 8 Katayama, Soichiro 8 Okamoto, Mamoru 8 Segata, Jun-ichi 8 Shu, Ji 8 Sunagawa, Hideaki 8 Uriya, Kota 7 Bona, Jerry Lloyd 7 Cazenave, Thierry 7 Colin, Thierry 7 Debussche, Arnaud 7 Dinh, Van Duong 7 Grünrock, Axel 7 Herr, Sebastian 7 Himonas, A. Alexandrou 7 Hundertmark, Dirk 7 Martel, Yvan 7 Masaki, Satoshi 7 Miao, Changxing 7 Tao, Terence 7 Tsutsumi, Masayoshi 7 Zhang, Jingjun 6 Chen, Yong 6 Delort, Jean-Marc 6 Fang, Yung-Fu 6 Gao, Hongjun 6 Hirayama, Hiroyuki 6 Hyakuna, Ryosuke 6 Inui, Takahisa 6 Lu, Jing 6 Ma, Li 6 Murphy, Jason 6 Oliveira, Filipe A. A. 6 Pastor, Ademir 6 Pecher, Hartmut 6 Saut, Jean-Claude 6 Wada, Takeshi 6 Wang, Baoxiang 6 Zhang, Luming 5 Bao, Weizhu 5 Bourgain, Jean 5 de Bouard, Anne 5 Dodson, Benjamin G. 5 Huang, Jianhua 5 Keel, Markus 5 Kinoshita, Shinya 5 Kubo, Hideo 5 Li, Xiaoguang 5 Panthee, Mahendra 5 Pattakos, Nikolaos 5 Pocovnicu, Oana 5 Raphael, Pierre 5 Schratz, Katharina 5 Sogge, Christopher D. 5 Su, Chunmei 5 Tzirakis, Nikolaos 5 Wang, Yushun 5 Yan, Wei 4 Bejenaru, Ioan 4 Chaichenets, Leonid 4 Esfahani, Amin 4 Forcella, Luigi 4 Gao, Yanfang 4 Georgiev, Vladimir S. 4 Grujić, Zoran 4 Han, Lijia 4 Hao, Chengchun 4 Holmer, Justin ...and 713 more Authors
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Cited in 189 Serials

 78 Journal of Differential Equations 65 Journal of Mathematical Analysis and Applications 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 38 Communications in Mathematical Physics 33 Communications in Partial Differential Equations 32 Journal of Functional Analysis 28 Journal of Mathematical Physics 28 Discrete and Continuous Dynamical Systems 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Communications on Pure and Applied Analysis 21 Transactions of the American Mathematical Society 15 Communications in Contemporary Mathematics 15 Journal of Evolution Equations 15 Nonlinear Analysis. Theory, Methods & Applications 14 Proceedings of the American Mathematical Society 13 Applied Mathematics and Computation 12 Duke Mathematical Journal 12 NoDEA. Nonlinear Differential Equations and Applications 11 Annales de l’Institut Henri Poincaré. Physique Théorique 10 Archive for Rational Mechanics and Analysis 10 SIAM Journal on Mathematical Analysis 10 Acta Mathematica Sinica. English Series 9 Applicable Analysis 9 Mathematische Zeitschrift 9 Physica D 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Journal of Hyperbolic Differential Equations 8 Mathematical Methods in the Applied Sciences 8 Nonlinearity 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematische Annalen 8 Science China. Mathematics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of the American Mathematical Society 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Computers & Mathematics with Applications 6 Journal d’Analyse Mathématique 6 Proceedings of the Japan Academy. Series A 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Annales Henri Poincaré 6 Nonlinear Analysis. Real World Applications 6 Kyoto Journal of Mathematics 5 Journal of Computational Physics 5 Advances in Mathematics 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of Nonlinear Science 5 The Journal of Fourier Analysis and Applications 4 Chaos, Solitons and Fractals 4 Journal of Computational and Applied Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Inventiones Mathematicae 3 Journal of the Mathematical Society of Japan 3 Osaka Journal of Mathematics 3 SIAM Journal on Numerical Analysis 3 Tohoku Mathematical Journal. Second Series 3 Chinese Annals of Mathematics. Series B 3 Stochastic Analysis and Applications 3 Applied Numerical Mathematics 3 Probability Theory and Related Fields 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Differential Equations and Applications 3 Advances in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Journal of Statistical Physics 2 Mathematical Notes 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Kodai Mathematical Journal 2 Manuscripta Mathematica 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Numerical Methods for Partial Differential Equations 2 Geometric and Functional Analysis. GAFA 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 2 Acta Mathematica Sinica. New Series 2 Journal of Dynamics and Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Taiwanese Journal of Mathematics 2 Chaos 2 Revista Matemática Complutense 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Applied Mathematics 2 Portugaliae Mathematica. Nova Série 2 Advanced Nonlinear Studies 2 Stochastics and Dynamics 2 Milan Journal of Mathematics ...and 89 more Serials
all top 5

Cited in 34 Fields

 924 Partial differential equations (35-XX) 76 Quantum theory (81-XX) 75 Fluid mechanics (76-XX) 71 Dynamical systems and ergodic theory (37-XX) 63 Probability theory and stochastic processes (60-XX) 63 Numerical analysis (65-XX) 41 Statistical mechanics, structure of matter (82-XX) 37 Optics, electromagnetic theory (78-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 18 Functional analysis (46-XX) 13 Operator theory (47-XX) 13 Mechanics of deformable solids (74-XX) 12 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Real functions (26-XX) 5 Astronomy and astrophysics (85-XX) 5 Systems theory; control (93-XX) 4 Integral equations (45-XX) 4 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)