Edit Profile (opens in new tab) Tsutsumi, Yoshio Co-Author Distance Author ID: tsutsumi.yoshio Published as: Tsutsumi, Yoshio; Tsutsumi, Y. Documents Indexed: 82 Publications since 1983, including 2 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 33 Co-Authors with 68 Joint Publications 921 Co-Co-Authors all top 5 Co-Authors 19 single-authored 18 Ozawa, Tohru 8 Tsutaya, Kimitoshi 7 Kishimoto, Nobu 6 Miyaji, Tomoyuki 6 Ogawa, Takayoshi 6 Shibata, Yoshihiro 4 Debussche, Arnaud 4 Ginibre, Jean 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 Cacciafesta, Federico 1 Hayashi, Nakao 1 Katayama, Soichiro 1 LeFloch, Philippe Gerard 1 Oh, Tadahiro 1 Oliver, Jesus Angel 1 Planchon, Fabrice 1 Raphael, Pierre 1 Shimomura, Akihiro 1 Win, Yin Yin Su 1 Yajima, Kenji 1 Zhang, Jian all top 5 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 Tôhoku 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Hyperbolic Differential Equations 1 Dynamics of Partial Differential Equations 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 85 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 7 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) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 1,970 times in 1,348 Documents Cited by ▼ Year ▼ On the Cauchy problem for the Zakharov system. Zbl 0894.35108 Ginibre, J.; Tsutsumi, Y.; Velo, G. 232 1997 \(L^ 2\)-solutions for nonlinear Schrödinger equations and nonlinear groups. Zbl 0638.35021 Tsutsumi, Yoshio 214 1987 Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation. Zbl 0739.35093 Ogawa, Takayoshi; Tsutsumi, Yoshio 168 1991 L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0722.35047 Merle, Frank; Tsutsumi, Yoshio 100 1990 White noise driven Korteweg-de Vries equation. Zbl 0952.60062 de Bouard, A.; Debussche, A.; Tsutsumi, Y. 68 1999 The asymptotic behavior of nonlinear Schrödinger equations. Zbl 0555.35028 Tsutsumi, Yoshio; Yajima, Kenji 64 1984 Existence and smoothing effect of solutions for the Zakharov equations. Zbl 0842.35116 Ozawa, Tohru; Tsutsumi, Yoshio 64 1992 Blow-up of \(H^ 1\) solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0747.35004 Ogawa, Takayoshi; Tsutsumi, Yoshio 61 1991 Uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0702.35224 Ginibre, J.; Tsutsumi, Y. 53 1989 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 50 1999 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 47 1996 Scattering problem for nonlinear Schrödinger equations. Zbl 0612.35104 Tsutsumi, Yoshio 44 1985 Global solutions of the nonlinear Schrödinger equation in exterior domains. Zbl 0542.35027 Tsutsumi, Yoshio 42 1983 The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35163 Ozawa, Tohru; Tsutsumi, Yoshio 42 1992 On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain. Zbl 0592.35028 Shibata, Yoshihiro; Tsutsumi, Yoshio 38 1986 Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0842.35092 Ozawa, T.; Tsutaya, K.; Tsutsumi, Y. 36 1995 Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition. Zbl 1154.35442 Takaoka, Hideo; Tsutsumi, Yoshio 35 2004 Rate of \(L^ 2\)-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power. Zbl 0726.35124 Tsutsumi, Yoshio 34 1990 1D quintic nonlinear Schrödinger equation with white noise dispersion. Zbl 1234.35242 Debussche, Arnaud; Tsutsumi, Yoshio 33 2011 Space-time estimates for null gauge forms and nonlinear Schrödinger equations. Zbl 1008.35070 Ozawa, T.; Tsutsumi, Y. 32 1998 Asymptotic behavior of solutions for the coupled Klein-Gordon- Schrödinger equations. Zbl 0817.35089 Ozawa, Tohru; Tsutsumi, Yoshio 29 1994 Local existence of solution for the initial boundary value problem of fully nonlinear wave equation. Zbl 0651.35053 Shibata, Yoshihiro; Tsutsumi, Yoshio 23 1987 Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 22 2010 Stability of constant equilibrium for the Maxwell-Higgs equations. Zbl 1151.58303 Tsutsumi, Yoshio 22 2003 Bifurcation analysis to the Lugiato-Lefever equation in one space dimension. Zbl 1211.37085 Miyaji, T.; Ohnishi, I.; Tsutsumi, Y. 21 2010 Instability of optical solitons for two-wave interaction model in cubic nonlinear media. Zbl 0922.35163 Tsutsumi, Yoshio; Zhang, Jian 21 1998 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 21 1997 Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions. Zbl 1020.35079 Tsutsumi, Yoshio 20 2003 Existence and uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0662.35114 Ginibre, J.; Tsutsumi, Y.; Velo, G. 20 1990 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 19 2019 Global strong solutions for nonlinear Schrödinger equations. Zbl 0657.35032 Tsutsumi, Yoshio 18 1987 Global existence and asymptotic behavior of solutions for the Maxwell- Schrödinger equations in three space dimensions. Zbl 0766.35061 Tsutsumi, Yoshio 17 1993 Local energy decay of solutions to the free Schrödinger equation in exterior domains. Zbl 0551.35069 Tsutsumi, Yoshio 17 1984 Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 17 2001 Periodic solutions of the Korteweg–de Vries equation driven by white noise. Zbl 1075.35121 De Bouard, A.; Debussche, A.; Tsutsumi, Y. 16 2004 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 15 2003 Global existence of solutions for nonlinear Schrödinger equations in one space dimension. Zbl 0832.35130 Katayama, Soichiro; Tsutsumi, Yoshio 15 1994 The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35113 Ozawa, Tohru; Tsutsumi, Yoshio 13 1991 Nonexistence of scattering states for some quadratic nonlinear Schrödinger equations in two space dimensions. Zbl 1212.35021 Shimomura, Akihiro; Tsutsumi, Yoshio 13 2006 Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. Zbl 0811.35004 Ozawa, Tohru; Tsutsumi, Yoshio 13 1994 Remarks on the scattering problem for nonlinear Schrödinger equations. Zbl 0633.35059 Hayashi, Nakao; Tsutsumi, Yoshio 13 1987 Remarks on the Klein-Gordon equation with quadratic nonlinearity in two space dimensions. Zbl 0892.35137 Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio 12 1997 The null gauge condition and the one dimensional nonlinear Schrödinger equation with cubic nonlinearity. Zbl 0808.35143 Tsutsumi, Yoshio 11 1994 Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrödinger equation. Zbl 1173.35696 Win, Yin Yin Su; Tsutsumi, Yoshio 10 2008 Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. Zbl 0717.35010 Ogawa, Takayoshi; Tsutsumi, Yoshio 10 1990 Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces. Zbl 1413.35409 Miyaji, Tomoyuki; Tsutsumi, Yoshio 10 2018 Stability of a stationary solution for the Lugiato-Lefever equation. Zbl 1234.35251 Miyaji, Tomoyuki; Ohnishi, Isamu; Tsutsumi, Yoshio 9 2011 Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on T. Zbl 1464.35317 Debussche, Arnaud; Tsutsumi, Yoshio 9 2021 The Cauchy problem for the Korteweg-de Vries equation with measures as initial data. Zbl 0679.35078 Tsutsumi, Yoshio 8 1989 Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on \(\mathbf T\). Zbl 1391.35357 Miyaji, Tomoyuki; Tsutsumi, Yoshio 7 2017 Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0569.35055 Shibata, Yoshihiro; Tsutsumi, Yoshio 6 1984 Ill-posedness of the third order NLS equation with Raman scattering term. Zbl 1410.35205 Kishimoto, Nobu; Tsutsumi, Yoshio 5 2018 On a global existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0653.35059 Shibata, Yoshihiro; Tsutsumi, Yoshio 5 1985 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 4 2019 Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0564.35072 Shibata, Yoshihiro; Tsutsumi, Yoshio 3 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 3 1984 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 3 2020 Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk. Zbl 1397.35286 Miyaji, Tomoyuki; Tsutsumi, Yoshio 2 2018 Global existence and uniqeness of energy solutions for the Maxwell-Schrödinger equations in one space dimension. Zbl 0840.35091 Tsutsumi, Yoshio 2 1995 Nonlinear dispersive equations. Zbl 1134.35004 1 2006 Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition. Zbl 1176.35160 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 1 2008 Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model. Zbl 1531.35069 LeFloch, Philippe G.; Oliver, Jesús; Tsutsumi, Yoshio 1 2023 A priori bounds for the kinetic DNLS. Zbl 1483.35199 Cacciafesta, Federico; Tsutsumi, Yoshio 1 2021 Erratum to: “Stability of stationary solution for the Lugiato-Lefever equation”. Zbl 1480.35359 Miyaji, Tomoyuki; Ohnishi, Isamu; Tsutsumi, Yoshio 1 2020 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 1 1988 On the initial value problem for the Zakharov equations. Zbl 0875.35111 Ozawa, Tohru; Tsutsumi, Yoshio 1 1992 Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0815.35096 Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio 1 1994 Ill-posedness of the third order NLS with Raman scattering term in Gevrey spaces. Zbl 1462.35358 Kishimoto, Nobu; Tsutsumi, Yoshio 1 2020 Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model. Zbl 1531.35069 LeFloch, Philippe G.; Oliver, Jesús; Tsutsumi, Yoshio 1 2023 Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on T. Zbl 1464.35317 Debussche, Arnaud; Tsutsumi, Yoshio 9 2021 A priori bounds for the kinetic DNLS. Zbl 1483.35199 Cacciafesta, Federico; Tsutsumi, Yoshio 1 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 3 2020 Erratum to: “Stability of stationary solution for the Lugiato-Lefever equation”. Zbl 1480.35359 Miyaji, Tomoyuki; Ohnishi, Isamu; Tsutsumi, Yoshio 1 2020 Ill-posedness of the third order NLS with Raman scattering term in Gevrey spaces. Zbl 1462.35358 Kishimoto, Nobu; Tsutsumi, Yoshio 1 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 19 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 4 2019 Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces. Zbl 1413.35409 Miyaji, Tomoyuki; Tsutsumi, Yoshio 10 2018 Ill-posedness of the third order NLS equation with Raman scattering term. Zbl 1410.35205 Kishimoto, Nobu; Tsutsumi, Yoshio 5 2018 Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk. Zbl 1397.35286 Miyaji, Tomoyuki; Tsutsumi, Yoshio 2 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 7 2017 1D quintic nonlinear Schrödinger equation with white noise dispersion. Zbl 1234.35242 Debussche, Arnaud; Tsutsumi, Yoshio 33 2011 Stability of a stationary solution for the Lugiato-Lefever equation. Zbl 1234.35251 Miyaji, Tomoyuki; Ohnishi, Isamu; Tsutsumi, Yoshio 9 2011 Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 22 2010 Bifurcation analysis to the Lugiato-Lefever equation in one space dimension. Zbl 1211.37085 Miyaji, T.; Ohnishi, I.; Tsutsumi, Y. 21 2010 Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrödinger equation. Zbl 1173.35696 Win, Yin Yin Su; Tsutsumi, Yoshio 10 2008 Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition. Zbl 1176.35160 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 1 2008 Nonexistence of scattering states for some quadratic nonlinear Schrödinger equations in two space dimensions. Zbl 1212.35021 Shimomura, Akihiro; Tsutsumi, Yoshio 13 2006 Nonlinear dispersive equations. Zbl 1134.35004 1 2006 Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition. Zbl 1154.35442 Takaoka, Hideo; Tsutsumi, Yoshio 35 2004 Periodic solutions of the Korteweg–de Vries equation driven by white noise. Zbl 1075.35121 De Bouard, A.; Debussche, A.; Tsutsumi, Y. 16 2004 Stability of constant equilibrium for the Maxwell-Higgs equations. Zbl 1151.58303 Tsutsumi, Yoshio 22 2003 Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions. Zbl 1020.35079 Tsutsumi, Yoshio 20 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 15 2003 Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 17 2001 White noise driven Korteweg-de Vries equation. Zbl 0952.60062 de Bouard, A.; Debussche, A.; Tsutsumi, Y. 68 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 50 1999 Space-time estimates for null gauge forms and nonlinear Schrödinger equations. Zbl 1008.35070 Ozawa, T.; Tsutsumi, Y. 32 1998 Instability of optical solitons for two-wave interaction model in cubic nonlinear media. Zbl 0922.35163 Tsutsumi, Yoshio; Zhang, Jian 21 1998 On the Cauchy problem for the Zakharov system. Zbl 0894.35108 Ginibre, J.; Tsutsumi, Y.; Velo, G. 232 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 21 1997 Remarks on the Klein-Gordon equation with quadratic nonlinearity in two space dimensions. Zbl 0892.35137 Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio 12 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 47 1996 Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0842.35092 Ozawa, T.; Tsutaya, K.; Tsutsumi, Y. 36 1995 Global existence and uniqeness of energy solutions for the Maxwell-Schrödinger equations in one space dimension. Zbl 0840.35091 Tsutsumi, Yoshio 2 1995 Asymptotic behavior of solutions for the coupled Klein-Gordon- Schrödinger equations. Zbl 0817.35089 Ozawa, Tohru; Tsutsumi, Yoshio 29 1994 Global existence of solutions for nonlinear Schrödinger equations in one space dimension. Zbl 0832.35130 Katayama, Soichiro; Tsutsumi, Yoshio 15 1994 Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. Zbl 0811.35004 Ozawa, Tohru; Tsutsumi, Yoshio 13 1994 The null gauge condition and the one dimensional nonlinear Schrödinger equation with cubic nonlinearity. Zbl 0808.35143 Tsutsumi, Yoshio 11 1994 Normal form and global solutions for the Klein-Gordon-Zakharov equations. Zbl 0815.35096 Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio 1 1994 Global existence and asymptotic behavior of solutions for the Maxwell- Schrödinger equations in three space dimensions. Zbl 0766.35061 Tsutsumi, Yoshio 17 1993 Existence and smoothing effect of solutions for the Zakharov equations. Zbl 0842.35116 Ozawa, Tohru; Tsutsumi, Yoshio 64 1992 The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35163 Ozawa, Tohru; Tsutsumi, Yoshio 42 1992 On the initial value problem for the Zakharov equations. Zbl 0875.35111 Ozawa, Tohru; Tsutsumi, Yoshio 1 1992 Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation. Zbl 0739.35093 Ogawa, Takayoshi; Tsutsumi, Yoshio 168 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 61 1991 The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. Zbl 0754.35113 Ozawa, Tohru; Tsutsumi, Yoshio 13 1991 L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0722.35047 Merle, Frank; Tsutsumi, Yoshio 100 1990 Rate of \(L^ 2\)-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power. Zbl 0726.35124 Tsutsumi, Yoshio 34 1990 Existence and uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0662.35114 Ginibre, J.; Tsutsumi, Y.; Velo, G. 20 1990 Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. Zbl 0717.35010 Ogawa, Takayoshi; Tsutsumi, Yoshio 10 1990 Uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0702.35224 Ginibre, J.; Tsutsumi, Y. 53 1989 The Cauchy problem for the Korteweg-de Vries equation with measures as initial data. Zbl 0679.35078 Tsutsumi, Yoshio 8 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 1 1988 \(L^ 2\)-solutions for nonlinear Schrödinger equations and nonlinear groups. Zbl 0638.35021 Tsutsumi, Yoshio 214 1987 Local existence of solution for the initial boundary value problem of fully nonlinear wave equation. Zbl 0651.35053 Shibata, Yoshihiro; Tsutsumi, Yoshio 23 1987 Global strong solutions for nonlinear Schrödinger equations. Zbl 0657.35032 Tsutsumi, Yoshio 18 1987 Remarks on the scattering problem for nonlinear Schrödinger equations. Zbl 0633.35059 Hayashi, Nakao; Tsutsumi, Yoshio 13 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 38 1986 Scattering problem for nonlinear Schrödinger equations. Zbl 0612.35104 Tsutsumi, Yoshio 44 1985 On a global existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0653.35059 Shibata, Yoshihiro; Tsutsumi, Yoshio 5 1985 The asymptotic behavior of nonlinear Schrödinger equations. Zbl 0555.35028 Tsutsumi, Yoshio; Yajima, Kenji 64 1984 Local energy decay of solutions to the free Schrödinger equation in exterior domains. Zbl 0551.35069 Tsutsumi, Yoshio 17 1984 Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0569.35055 Shibata, Yoshihiro; Tsutsumi, Yoshio 6 1984 Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0564.35072 Shibata, Yoshihiro; Tsutsumi, Yoshio 3 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 3 1984 Global solutions of the nonlinear Schrödinger equation in exterior domains. Zbl 0542.35027 Tsutsumi, Yoshio 42 1983 all cited Publications top 5 cited Publications all top 5 Cited by 1,152 Authors 43 Hayashi, Nakao 36 Zhang, Jian 35 Oh, Tadahiro 29 Guo, Boling 29 Ozawa, Tohru 29 Tsutsumi, Yoshio 23 Naumkin, Pavel Ivanovich 20 Gan, Zaihui 19 Tzvetkov, Nikolay 18 Vega, Luis 17 Ponce, Gustavo 16 Merle, Frank 16 Nakanishi, Kenji 15 Kenig, Carlos Eduardo 15 Ogawa, Takayoshi 14 Hoshino, Gaku 14 Ikeda, Masahiro 14 Segata, Jun-ichi 13 Kishimoto, Nobu 12 Dinh, Van Duong 12 Dong, Shijie 12 Guo, Zihua 12 Masaki, Satoshi 12 Nakamura, Makoto 12 Uriya, Kota 12 Zhu, Shihui 11 Carvajal, Xavier Paredes 11 Ginibre, Jean 11 Herr, Sebastian 11 Himonas, A. Alexandrou 11 Panthee, Mahendra 11 Velo, Giorgio 11 Wang, Yuzhao 11 Xie, Yingchao 10 Chen, Yong 10 Farah, Luiz Gustavo 10 Kaikina, Elena Igorevna 10 Kinoshita, Shinya 10 Linares, Felipe 10 Okamoto, Mamoru 10 Su, Chunmei 9 Cazenave, Thierry 9 Colliander, James E. 9 Corcho, Adán J. 9 Cui, Shangbin 9 Murphy, Jason 9 Shibata, Yoshihiro 9 Shu, Ji 9 Zhang, Luming 8 Fang, Daoyuan 8 Grünrock, Axel 8 Huang, Jianhua 8 Katayama, Soichiro 8 Martel, Yvan 8 Pocovnicu, Oana 8 Sunagawa, Hideaki 8 Tsutsumi, Masayoshi 8 Wang, Baoxiang 8 Wei, Caimin 8 Yan, Wei 8 Zhang, Jingjun 7 Bao, Weizhu 7 Bona, Jerry Lloyd 7 Carles, Rémi 7 Colin, Thierry 7 Debussche, Arnaud 7 Esfahani, Amin 7 Forcella, Luigi 7 Gao, Hongjun 7 Hirayama, Hiroyuki 7 Hundertmark, Dirk 7 Hyakuna, Ryosuke 7 Inui, Takahisa 7 Li, Xiaoguang 7 Lu, Jing 7 Ma, Li 7 Miao, Changxing 7 Naumkin, Ivan P. 7 Pastor, Ademir 7 Sato, Takuya 7 Saut, Jean-Claude 7 Shi, Qihong 7 Staffilani, Gigliola 7 Tao, Terence 7 Wada, Takeshi 7 Wang, Yushun 6 Banica, Valeria 6 Burq, Nicolas 6 Delort, Jean-Marc 6 Fan, Engui 6 Fang, Yung-Fu 6 Hamano, Masaru 6 Ignat, Liviu I. 6 Liu, Qing 6 Miyazaki, Hayato 6 Oliveira, Filipe A. A. 6 Pecher, Hartmut 6 Seong, Kihoon 6 Stefanov, Atanas G. 6 Tzirakis, Nikolaos ...and 1,052 more Authors all top 5 Cited in 244 Serials 95 Journal of Differential Equations 78 Journal of Mathematical Analysis and Applications 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Communications in Mathematical Physics 39 Communications in Partial Differential Equations 37 Journal of Functional Analysis 36 Discrete and Continuous Dynamical Systems 35 Journal of Mathematical Physics 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Communications on Pure and Applied Analysis 27 Chaos, Solitons and Fractals 26 Journal of Evolution Equations 23 Transactions of the American Mathematical Society 19 Mathematical Methods in the Applied Sciences 17 Proceedings of the American Mathematical Society 17 NoDEA. Nonlinear Differential Equations and Applications 17 Communications in Contemporary Mathematics 16 Applied Mathematics and Computation 16 SIAM Journal on Mathematical Analysis 15 Nonlinearity 15 Nonlinear Analysis. Theory, Methods & Applications 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Physica D 13 Journal of Hyperbolic Differential Equations 12 Applicable Analysis 12 Duke Mathematical Journal 12 Calculus of Variations and Partial Differential Equations 11 Archive for Rational Mechanics and Analysis 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Annales de l’Institut Henri Poincaré. Physique Théorique 11 Journal of Dynamics and Differential Equations 10 Acta Mathematica Sinica. English Series 10 Discrete and Continuous Dynamical Systems. Series B 9 Mathematische Zeitschrift 9 Nonlinear Analysis. Real World Applications 9 Science China. Mathematics 8 Mathematische Annalen 8 Annales Henri Poincaré 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Stochastic and Partial Differential Equations. Analysis and Computations 7 Computers & Mathematics with Applications 7 Journal d’Analyse Mathématique 7 Journal of Computational Physics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of the American Mathematical Society 7 SN Partial Differential Equations and Applications 6 Advances in Mathematics 6 Proceedings of the Japan Academy. Series A 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 The Journal of Fourier Analysis and Applications 6 Kyoto Journal of Mathematics 5 Physics Letters. A 5 Journal of Computational and Applied Mathematics 5 Mathematics and Computers in Simulation 5 Applied Mathematics and Mechanics. (English Edition) 5 Applied Numerical Mathematics 5 Asymptotic Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Nonlinear Science 5 Forum of Mathematics, Sigma 4 Mathematics of Computation 4 Inventiones Mathematicae 4 Journal of the Mathematical Society of Japan 4 SIAM Journal on Numerical Analysis 4 Probability Theory and Related Fields 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics Letters 4 Journal of Scientific Computing 4 Vietnam Journal of Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 4 Analysis & PDE 4 Differential Equations and Applications 4 Advances in Nonlinear Analysis 4 Transactions of the American Mathematical Society. Series B 3 Communications on Pure and Applied Mathematics 3 Annales de l’Institut Fourier 3 Applied Mathematics and Optimization 3 Indiana University Mathematics Journal 3 Osaka Journal of Mathematics 3 Quarterly of Applied Mathematics 3 Tôhoku Mathematical Journal. Second Series 3 Chinese Annals of Mathematics. Series B 3 Stochastic Analysis and Applications 3 Revista Matemática Iberoamericana 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Inequalities and Applications 3 Revista Matemática Complutense 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Nonlinear Mathematical Physics 3 Advanced Nonlinear Studies 3 Advances in Difference Equations 3 Oberwolfach Reports 3 Journal of Physics A: Mathematical and Theoretical 3 Advances in Mathematical Physics 3 Analysis and Mathematical Physics 3 Evolution Equations and Control Theory 3 Séminaire Laurent Schwartz. EDP et Applications 3 Pure and Applied Analysis 2 Journal of Statistical Physics ...and 144 more Serials all top 5 Cited in 43 Fields 1,304 Partial differential equations (35-XX) 114 Probability theory and stochastic processes (60-XX) 108 Fluid mechanics (76-XX) 107 Dynamical systems and ergodic theory (37-XX) 105 Quantum theory (81-XX) 92 Numerical analysis (65-XX) 56 Statistical mechanics, structure of matter (82-XX) 55 Optics, electromagnetic theory (78-XX) 43 Harmonic analysis on Euclidean spaces (42-XX) 25 Functional analysis (46-XX) 24 Operator theory (47-XX) 19 Mechanics of deformable solids (74-XX) 17 Ordinary differential equations (34-XX) 13 Real functions (26-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Relativity and gravitational theory (83-XX) 7 Measure and integration (28-XX) 7 Integral equations (45-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Astronomy and astrophysics (85-XX) 6 Systems theory; control (93-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 4 Functions of a complex variable (30-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX) Citations by Year