Edit Profile (opens in new tab) Nakanishi, Kenji Co-Author Distance Author ID: nakanishi.kenji.1 Published as: Nakanishi, Kenji; Nakanishi, K.; Nakanishi,Kenji more...less Further Spellings: 中西 賢次 Homepage: https://www.kurims.kyoto-u.ac.jp/en/list/nakanishi.html External Links: ResearchGate Documents Indexed: 88 Publications since 1998, including 1 Book and 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 56 Co-Authors with 67 Joint Publications 1,729 Co-Co-Authors all top 5 Co-Authors 20 single-authored 16 Masmoudi, Nader 10 Ibrahim, Slim 10 Schlag, Wilhelm 9 Guo, Zihua 7 Tsai, Tai-Peng 6 Gustafson, Stephen J. 6 Krieger, Joachim 5 Ozawa, Tohru 4 Machihara, Shuji 3 Herr, Sebastian 3 Takaoka, Hideo 3 Tsutsumi, Yoshio 3 Wang, Shuxia 2 Candy, Timothy 2 Geba, Dan-Andrei 2 Majdoub, Mohamed 1 Aloui, Lassaad 1 Arakawa, Tomoyuki 1 Bejenaru, Ioan 1 Cao, Chongsheng 1 Chang, Shu-Ming 1 Cho, Yonggeun 1 Fang, Yung-Fu 1 Hani, Zaher 1 Hasegawa, Masahito 1 Ishizuka, Kenjiro 1 Kashiwara, Masaki 1 Kikuchi, Hiroaki 1 Kumagai, Takashi 1 Lee, Sanghyuk 1 Li, Ji 1 Makino, Kazuhisa 1 Martel, Yvan 1 Merle, Frank 1 Mochizuki, Takuro 1 Mukai, Shigeru 1 Murphy, Jason 1 Nakajima, Hiraku 1 Nakamura, Makoto 1 Ohta, Masahito 1 Ono, Kaoru 1 Ozawa, Narutaka 1 Phan, Tuoc Van 1 Rajeev, Sarada G. 1 Raphael, Pierre 1 Roy, Tristan 1 Sani, Federica 1 Tamagawa, Akio 1 Titi, Edriss Saleh 1 Tomotada, Ohtsuki 1 Tsugawa, Kotaro 1 Wang, Baoxiang 1 Wang, Chengbo 1 Wei, Juncheng 1 Yamada, Michio 1 Yamamoto, Takuto 1 Yan, Lixin 1 Zhang, Xiang all top 5 Serials 8 Communications in Mathematical Physics 5 IMRN. International Mathematics Research Notices 5 RIMS Kokyuroku 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Mathematical Research Letters 3 American Journal of Mathematics 3 Journal of Differential Equations 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 3 Communications on Pure and Applied Analysis 3 Analysis & PDE 2 Advances in Mathematics 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Nonlinearity 1 Duke Mathematical Journal 1 Hokkaido Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Calculus of Variations and Partial Differential Equations 1 Séminaire Équations aux Dérivées Partielles 1 Kyushu Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Methods and Applications of Analysis 1 Communications in Contemporary Mathematics 1 Journal of Hyperbolic Differential Equations 1 Dynamics of Partial Differential Equations 1 RIMS Kôkyûroku Bessatsu 1 Kyoto Journal of Mathematics 1 Annals of PDE 1 Proceedings of the American Mathematical Society. Series B 1 Zurich Lectures in Advanced Mathematics all top 5 Fields 88 Partial differential equations (35-XX) 13 Quantum theory (81-XX) 12 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 1,898 times in 1,129 Documents Cited by ▼ Year ▼ Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041 Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 89 2007 Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2. Zbl 0942.35159 Nakanishi, Kenji 87 1999 Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 80 2011 Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations. Zbl 0991.35080 Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 77 2002 Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002 Nakanishi, Kenji; Schlag, Wilhelm 74 2011 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 63 2009 Energy convergence for singular limits of Zakharov type systems. Zbl 1143.35090 Masmoudi, Nader; Nakanishi, Kenji 62 2008 Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. Zbl 1060.35025 Machihara, Shuji; Nakamura, Makoto; Nakanishi, Kenji; Ozawa, Tohru 60 2005 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262 Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 57 2015 Scattering theory for the nonlinear Klein-Gordon equation with Sobolev critical power. Zbl 0933.35166 Nakanishi, Kenji 56 1999 From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations. Zbl 1008.35071 Masmoudi, Nader; Nakanishi, Kenji 50 2002 Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148 Nakanishi, K.; Schlag, W. 49 2012 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 46 2004 Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation. Zbl 1041.35061 Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 44 2003 From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070 Masmoudi, Nader; Nakanishi, Kenji 43 2005 Remarks on scattering for nonlinear Schrödinger equations. Zbl 0991.35082 Nakanishi, Kenji; Ozawa, Tohru 43 2002 Trudinger-Moser inequality on the whole plane with the exact growth condition. Zbl 1317.35032 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 43 2015 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 41 2010 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 40 2006 Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 37 2013 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 34 2007 Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 34 2015 Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307 Nakanishi, K.; Schlag, W. 32 2011 Well-posedness for nonlinear Dirac equations in one dimension. Zbl 1248.35170 Machihara, Shuji; Nakanishi, Kenji; Tsugawa, Kotaro 29 2010 Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger. Zbl 1013.35078 Masmoudi, Nader; Nakanishi, Kenji 27 2003 Energy scattering for Hartree equations. Zbl 0949.35104 Nakanishi, Kenji 25 1999 Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations. Zbl 1037.35081 Nakanishi, Kenji 25 2001 Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138 Nakanishi, K.; Schlag, W. 25 2012 Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 25 2013 Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity. Zbl 0926.35022 Nakanishi, Kenji 22 1999 Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315 Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre 21 2016 Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 21 2010 Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002 Krieger, J.; Nakanishi, K.; Schlag, W. 20 2012 Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 20 2014 Asymptotically-free solutions for the short-range nonlinear Schrödinger equation. Zbl 0979.35132 Nakanishi, Kenji 19 2001 Small energy scattering for the Zakharov system with radial symmetry. Zbl 1303.35089 Guo, Zihua; Nakanishi, Kenji 19 2014 Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth. Zbl 1243.35122 Aloui, L.; Ibrahim, S.; Nakanishi, K. 18 2011 Scattering for the two-dimensional energy-critical wave equation. Zbl 1206.35175 Ibrahim, Slim; Majdoub, Mohamed; Masmoudi, Nader; Nakanishi, Kenji 18 2009 Scattering for the 3D Gross-Pitaevskii equation. Zbl 1393.35221 Guo, Zihua; Hani, Zaher; Nakanishi, Kenji 17 2018 Generalized Strichartz estimates and scattering for 3D Zakharov system. Zbl 1302.35336 Guo, Zihua; Lee, Sanghyuk; Nakanishi, Kenji; Wang, Chengbo 16 2014 Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 16 2001 From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system. Zbl 1197.35244 Masmoudi, Nader; Nakanishi, Kenji 16 2010 Global dynamics below the ground state energy for the Zakharov system in the 3D radial case. Zbl 1284.35369 Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 16 2013 Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. Zbl 1029.35199 Masmoudi, Nader; Nakanishi, Kenji 14 2003 Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation. Zbl 1302.35260 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 14 2014 Well-posedness and scattering for the Zakharov system in four dimensions. Zbl 1331.35093 Bejenaru, Ioan; Guo, Zihua; Herr, Sebastian; Nakanishi, Kenji 14 2015 Uniqueness of solutions for Zakharov systems. Zbl 1176.35148 Masmoudi, Nader; Nakanishi, Kenji 12 2009 Scattering for the two-dimensional NLS with exponential nonlinearity. Zbl 1241.35188 Ibrahim, S.; Majdoub, M.; Masmoudi, N.; Nakanishi, K. 12 2012 Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential. Zbl 1383.35213 Nakanishi, Kenji 11 2017 Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037 Nakanishi, K.; Schlag, W. 10 2012 Modified wave operators for the Hartree equation with data, image and convergence in the same space. Zbl 1013.35056 Nakanishi, Kenji 10 2002 On the boundary Strichartz estimates for wave and Schrödinger equations. Zbl 1402.35056 Guo, Zihua; Li, Ji; Nakanishi, Kenji; Yan, Lixin 10 2018 Global wellposedness for the energy-critical Zakharov system below the ground state. Zbl 1479.35766 Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji 10 2021 Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations. Zbl 1027.35128 Nakanishi, Kenji 9 2002 Modified wave operators for the Hartree equation with data, image and convergence in the same space. II. Zbl 1040.35054 Nakanishi, K. 9 2002 On the global existence of semirelativistic Hartree equations. Zbl 1232.35135 Cho, Yonggeun; Nakanishi, Kenji 9 2010 Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry. Zbl 1304.35691 Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 9 2014 Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case. Zbl 1296.35191 Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 8 2014 The Zakharov system in 4D radial energy space below the ground state. Zbl 1512.35420 Guo, Zihua; Nakanishi, Kenji 8 2021 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136 Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 7 2012 Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities. Zbl 1435.35142 Ibrahim, S.; Masmoudi, N.; Nakanishi, K.; Sani, F. 7 2020 Multifrequency NLS scaling for a model equation of gravity-capillary waves. Zbl 1291.35358 Masmoudi, Nader; Nakanishi, Kenji 7 2013 Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331 Murphy, Jason; Nakanishi, Kenji 7 2021 Global well-posedness and scattering for the quantum Zakharov system in \(L^2\). Zbl 1420.35352 Fang, Yung-Fu; Nakanishi, Kenji 7 2019 Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation. Zbl 1184.35215 Nakanishi, Kenji 6 2008 Global well-posedness and scattering for Skyrme wave maps. Zbl 1264.35182 Geba, Dan-Andrei; Nakanishi, Kenji; Rajeev, Sarada G. 6 2012 Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation. Zbl 1420.35369 Nakanishi, Kenji; Yamamoto, Takuto 6 2019 Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data. Zbl 1352.35165 Nakanishi, Kenji; Roy, Tristan 4 2016 Correction to: “Scattering threshold for the focusing nonlinear Klein-Gordon equation”. Zbl 1472.35063 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 3 2016 The Zakharov system in dimension \(d \geq 4\). Zbl 1519.35284 Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji 3 2023 On global existence of solutions to nonlinear wave equations of wave map type. Zbl 0967.35096 Nakanishi, Kenji; Ohta, Masahito 2 2000 Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential. Zbl 1375.35506 Nakanishi, Kenji 2 2017 Sharp global regularity for the \(2 + 1\)-dimensional equivariant Faddeev model. Zbl 1329.81408 Geba, Dan-Andrei; Nakanishi, Kenji; Zhang, Xiang 2 2015 Two asymptotic problems for a singular nonlinear Schrödinger system. Zbl 1219.35284 Masmoudi, Nader; Nakanishi, Kenji 2 2010 Scattering theory for the Gross-Pitaevskii equation. Zbl 1171.35475 Nakanishi, Kenji 1 2008 Non-uniqueness for an energy-critical heat equation on \({\mathbb{R}}^2\). Zbl 1466.35002 Ibrahim, Slim; Kikuchi, Hiroaki; Nakanishi, Kenji; Wei, Juncheng 1 2021 The Zakharov system in dimension \(d \geq 4\). Zbl 1519.35284 Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji 3 2023 Global wellposedness for the energy-critical Zakharov system below the ground state. Zbl 1479.35766 Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji 10 2021 The Zakharov system in 4D radial energy space below the ground state. Zbl 1512.35420 Guo, Zihua; Nakanishi, Kenji 8 2021 Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331 Murphy, Jason; Nakanishi, Kenji 7 2021 Non-uniqueness for an energy-critical heat equation on \({\mathbb{R}}^2\). Zbl 1466.35002 Ibrahim, Slim; Kikuchi, Hiroaki; Nakanishi, Kenji; Wei, Juncheng 1 2021 Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities. Zbl 1435.35142 Ibrahim, S.; Masmoudi, N.; Nakanishi, K.; Sani, F. 7 2020 Global well-posedness and scattering for the quantum Zakharov system in \(L^2\). Zbl 1420.35352 Fang, Yung-Fu; Nakanishi, Kenji 7 2019 Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation. Zbl 1420.35369 Nakanishi, Kenji; Yamamoto, Takuto 6 2019 Scattering for the 3D Gross-Pitaevskii equation. Zbl 1393.35221 Guo, Zihua; Hani, Zaher; Nakanishi, Kenji 17 2018 On the boundary Strichartz estimates for wave and Schrödinger equations. Zbl 1402.35056 Guo, Zihua; Li, Ji; Nakanishi, Kenji; Yan, Lixin 10 2018 Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential. Zbl 1383.35213 Nakanishi, Kenji 11 2017 Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential. Zbl 1375.35506 Nakanishi, Kenji 2 2017 Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315 Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre 21 2016 Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data. Zbl 1352.35165 Nakanishi, Kenji; Roy, Tristan 4 2016 Correction to: “Scattering threshold for the focusing nonlinear Klein-Gordon equation”. Zbl 1472.35063 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 3 2016 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262 Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 57 2015 Trudinger-Moser inequality on the whole plane with the exact growth condition. Zbl 1317.35032 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 43 2015 Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 34 2015 Well-posedness and scattering for the Zakharov system in four dimensions. Zbl 1331.35093 Bejenaru, Ioan; Guo, Zihua; Herr, Sebastian; Nakanishi, Kenji 14 2015 Sharp global regularity for the \(2 + 1\)-dimensional equivariant Faddeev model. Zbl 1329.81408 Geba, Dan-Andrei; Nakanishi, Kenji; Zhang, Xiang 2 2015 Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 20 2014 Small energy scattering for the Zakharov system with radial symmetry. Zbl 1303.35089 Guo, Zihua; Nakanishi, Kenji 19 2014 Generalized Strichartz estimates and scattering for 3D Zakharov system. Zbl 1302.35336 Guo, Zihua; Lee, Sanghyuk; Nakanishi, Kenji; Wang, Chengbo 16 2014 Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation. Zbl 1302.35260 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 14 2014 Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry. Zbl 1304.35691 Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 9 2014 Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case. Zbl 1296.35191 Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 8 2014 Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 37 2013 Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153 Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 25 2013 Global dynamics below the ground state energy for the Zakharov system in the 3D radial case. Zbl 1284.35369 Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 16 2013 Multifrequency NLS scaling for a model equation of gravity-capillary waves. Zbl 1291.35358 Masmoudi, Nader; Nakanishi, Kenji 7 2013 Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148 Nakanishi, K.; Schlag, W. 49 2012 Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138 Nakanishi, K.; Schlag, W. 25 2012 Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002 Krieger, J.; Nakanishi, K.; Schlag, W. 20 2012 Scattering for the two-dimensional NLS with exponential nonlinearity. Zbl 1241.35188 Ibrahim, S.; Majdoub, M.; Masmoudi, N.; Nakanishi, K. 12 2012 Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037 Nakanishi, K.; Schlag, W. 10 2012 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136 Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 7 2012 Global well-posedness and scattering for Skyrme wave maps. Zbl 1264.35182 Geba, Dan-Andrei; Nakanishi, Kenji; Rajeev, Sarada G. 6 2012 Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132 Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 80 2011 Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002 Nakanishi, Kenji; Schlag, Wilhelm 74 2011 Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307 Nakanishi, K.; Schlag, W. 32 2011 Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth. Zbl 1243.35122 Aloui, L.; Ibrahim, S.; Nakanishi, K. 18 2011 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 41 2010 Well-posedness for nonlinear Dirac equations in one dimension. Zbl 1248.35170 Machihara, Shuji; Nakanishi, Kenji; Tsugawa, Kotaro 29 2010 Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 21 2010 From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system. Zbl 1197.35244 Masmoudi, Nader; Nakanishi, Kenji 16 2010 On the global existence of semirelativistic Hartree equations. Zbl 1232.35135 Cho, Yonggeun; Nakanishi, Kenji 9 2010 Two asymptotic problems for a singular nonlinear Schrödinger system. Zbl 1219.35284 Masmoudi, Nader; Nakanishi, Kenji 2 2010 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 63 2009 Scattering for the two-dimensional energy-critical wave equation. Zbl 1206.35175 Ibrahim, Slim; Majdoub, Mohamed; Masmoudi, Nader; Nakanishi, Kenji 18 2009 Uniqueness of solutions for Zakharov systems. Zbl 1176.35148 Masmoudi, Nader; Nakanishi, Kenji 12 2009 Energy convergence for singular limits of Zakharov type systems. Zbl 1143.35090 Masmoudi, Nader; Nakanishi, Kenji 62 2008 Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation. Zbl 1184.35215 Nakanishi, Kenji 6 2008 Scattering theory for the Gross-Pitaevskii equation. Zbl 1171.35475 Nakanishi, Kenji 1 2008 Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041 Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 89 2007 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 34 2007 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 40 2006 Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. Zbl 1060.35025 Machihara, Shuji; Nakamura, Makoto; Nakanishi, Kenji; Ozawa, Tohru 60 2005 From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070 Masmoudi, Nader; Nakanishi, Kenji 43 2005 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 46 2004 Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation. Zbl 1041.35061 Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 44 2003 Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger. Zbl 1013.35078 Masmoudi, Nader; Nakanishi, Kenji 27 2003 Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. Zbl 1029.35199 Masmoudi, Nader; Nakanishi, Kenji 14 2003 Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations. Zbl 0991.35080 Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 77 2002 From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations. Zbl 1008.35071 Masmoudi, Nader; Nakanishi, Kenji 50 2002 Remarks on scattering for nonlinear Schrödinger equations. Zbl 0991.35082 Nakanishi, Kenji; Ozawa, Tohru 43 2002 Modified wave operators for the Hartree equation with data, image and convergence in the same space. Zbl 1013.35056 Nakanishi, Kenji 10 2002 Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations. Zbl 1027.35128 Nakanishi, Kenji 9 2002 Modified wave operators for the Hartree equation with data, image and convergence in the same space. II. Zbl 1040.35054 Nakanishi, K. 9 2002 Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations. Zbl 1037.35081 Nakanishi, Kenji 25 2001 Asymptotically-free solutions for the short-range nonlinear Schrödinger equation. Zbl 0979.35132 Nakanishi, Kenji 19 2001 Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119 Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 16 2001 On global existence of solutions to nonlinear wave equations of wave map type. Zbl 0967.35096 Nakanishi, Kenji; Ohta, Masahito 2 2000 Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2. Zbl 0942.35159 Nakanishi, Kenji 87 1999 Scattering theory for the nonlinear Klein-Gordon equation with Sobolev critical power. Zbl 0933.35166 Nakanishi, Kenji 56 1999 Energy scattering for Hartree equations. Zbl 0949.35104 Nakanishi, Kenji 25 1999 Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity. Zbl 0926.35022 Nakanishi, Kenji 22 1999 all cited Publications top 5 cited Publications all top 5 Cited by 973 Authors 35 Nakanishi, Kenji 21 Ozawa, Tohru 20 Ibrahim, Slim 19 Martel, Yvan 19 Merle, Frank 19 Miao, Changxing 19 Raphael, Pierre 18 Cuccagna, Scipio 18 Guo, Boling 18 Masmoudi, Nader 16 Titi, Edriss Saleh 15 Xu, Guixiang 14 Ionescu, Alexandru D. 14 Maeda, Masaya 14 Naumkin, Ivan P. 13 Guo, Zihua 13 Lu, Guozhen 13 Saanouni, Tarek 12 Pusateri, Fabio 12 Schratz, Katharina 12 Visan, Monica 11 Duyckaerts, Thomas 11 Lawrie, Andrew G. W. 11 Zhang, Junyong 11 Zhao, Xiaofei 10 Herr, Sebastian 10 Ikeda, Masahiro 10 Kenig, Carlos Eduardo 10 Krieger, Joachim 10 Lu, Jing 10 Machihara, Shuji 10 Murphy, Jason 10 Nakamura, Makoto 10 Zhao, Lifeng 10 Zheng, Jiqiang 9 Bao, Weizhu 9 Carles, Rémi 9 Cazenave, Thierry 9 Collot, Charles 9 Georgiev, Vladimir S. 9 Inui, Takahisa 9 Killip, Rowan 9 Li, Jinkai 9 Pausader, Benoît 9 Schlag, Wilhelm 9 Schneider, Guido 9 Su, Chunmei 9 Tang, Xingdong 8 Jendrej, Jacek 8 Masaki, Satoshi 8 Muñoz, Claudio 8 Visciglia, Nicola 7 Akahori, Takafumi 7 Cai, Yongyong 7 Chen, Lu 7 Cho, Yonggeun 7 Donninger, Roland 7 Germain, Pierre 7 Li, Ze 7 Oh, Tadahiro 7 Okamoto, Mamoru 7 Roudenko, Svetlana 7 Sani, Federica 7 Selberg, Sigmund 7 Shen, Ruipeng 7 Soffer, Avraham 7 Stefanov, Atanas G. 7 Vega, Luis 7 Wang, Shu 7 Wang, Tingchun 7 Yang, Jianwei 7 Zhu, Maochun 6 Boussaid, Nabile 6 Candy, Timothy 6 Chen, Gong 6 Cheng, Xing 6 Côte, Raphaël 6 D’Ancona, Piero 6 Dong, Shijie 6 Gao, Yanfang 6 Guo, Yan 6 Hayashi, Nakao 6 Holmer, Justin 6 Hoshino, Gaku 6 Kikuchi, Hiroaki 6 Lam, Nguyen 6 Lee, Sanghyuk 6 Lin, Quyuan 6 Segata, Jun-ichi 6 Tarulli, Mirko 6 Tzvetkov, Nikolay 6 Yao, Xiaohua 6 Zhang, Jingjun 5 Audiard, Corentin 5 Banica, Valeria 5 Bejenaru, Ioan 5 Cacciafesta, Federico 5 Cao, Chongsheng 5 Comech, Andrew 5 Dodson, Benjamin G. ...and 873 more Authors all top 5 Cited in 201 Serials 78 Journal of Differential Equations 58 Communications in Mathematical Physics 39 Discrete and Continuous Dynamical Systems 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Journal of Functional Analysis 34 Journal of Mathematical Analysis and Applications 29 Journal of Mathematical Physics 26 Communications in Partial Differential Equations 25 SIAM Journal on Mathematical Analysis 24 Archive for Rational Mechanics and Analysis 24 Calculus of Variations and Partial Differential Equations 22 Communications on Pure and Applied Analysis 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Communications in Contemporary Mathematics 19 Journal of Hyperbolic Differential Equations 18 Journal of Evolution Equations 17 Advances in Mathematics 16 Transactions of the American Mathematical Society 15 Mathematical Methods in the Applied Sciences 15 Nonlinearity 14 Proceedings of the American Mathematical Society 14 Analysis & PDE 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Communications on Pure and Applied Mathematics 11 Mathematische Annalen 11 Memoirs of the American Mathematical Society 11 NoDEA. Nonlinear Differential Equations and Applications 11 Journal of the European Mathematical Society (JEMS) 11 Acta Mathematica Sinica. English Series 10 Physica D 9 Applicable Analysis 9 Inventiones Mathematicae 9 Journal of Dynamics and Differential Equations 9 Annals of PDE 8 Journal of Computational Physics 8 Duke Mathematical Journal 8 Journal of Computational and Applied Mathematics 8 Applied Numerical Mathematics 8 Revista Matemática Iberoamericana 8 Annales Henri Poincaré 8 Discrete and Continuous Dynamical Systems. Series B 8 Séminaire Laurent Schwartz. EDP et Applications 7 Computers & Mathematics with Applications 7 The Journal of Geometric Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics and Computation 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Science China. Mathematics 6 Forum of Mathematics, Sigma 5 Mathematics of Computation 5 Annales de l’Institut Fourier 5 Journal of the Mathematical Society of Japan 5 Mathematische Nachrichten 5 Mathematische Zeitschrift 5 Quarterly of Applied Mathematics 5 SIAM Journal on Numerical Analysis 5 Numerical Methods for Partial Differential Equations 5 Asymptotic Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 5 Pure and Applied Analysis 4 Journal d’Analyse Mathématique 4 Numerische Mathematik 4 Applied Mathematics Letters 4 Journal of Scientific Computing 4 Journal of Mathematical Fluid Mechanics 4 Advanced Nonlinear Studies 4 Evolution Equations and Control Theory 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of the American Mathematical Society 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Geometric and Functional Analysis. GAFA 3 Bulletin des Sciences Mathématiques 3 Journal of Inequalities and Applications 3 Boundary Value Problems 3 Advances in Nonlinear Analysis 2 Letters in Mathematical Physics 2 Acta Mathematica 2 American Journal of Mathematics 2 BIT 2 Indiana University Mathematics Journal 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tôhoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Forum Mathematicum 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Potential Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Advances in Computational Mathematics 2 Advances in Differential Equations 2 The Journal of Fourier Analysis and Applications 2 Vietnam Journal of Mathematics 2 Mathematical Physics, Analysis and Geometry 2 Revista Matemática Complutense 2 Annals of Mathematics. Second Series 2 Analysis (München) ...and 101 more Serials all top 5 Cited in 39 Fields 1,063 Partial differential equations (35-XX) 127 Fluid mechanics (76-XX) 109 Quantum theory (81-XX) 93 Numerical analysis (65-XX) 70 Dynamical systems and ergodic theory (37-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 52 Functional analysis (46-XX) 45 Statistical mechanics, structure of matter (82-XX) 38 Geophysics (86-XX) 36 Operator theory (47-XX) 30 Optics, electromagnetic theory (78-XX) 29 Real functions (26-XX) 29 Global analysis, analysis on manifolds (58-XX) 15 Ordinary differential equations (34-XX) 14 Probability theory and stochastic processes (60-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Relativity and gravitational theory (83-XX) 7 Differential geometry (53-XX) 7 Mechanics of particles and systems (70-XX) 7 Mechanics of deformable solids (74-XX) 5 Approximations and expansions (41-XX) 5 Systems theory; control (93-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) Citations by Year