Edit Profile (opens in new tab) Nakanishi, Kenji Compute Distance To: Compute Author ID: nakanishi.kenji.1 Published as: Nakanishi, Kenji; Nakanishi, K. Documents Indexed: 85 Publications since 1998, including 1 Book 1 Contribution as Editor Co-Authors: 36 Co-Authors with 60 Joint Publications 997 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 Takaoka, Hideo 3 Tsutsumi, Yoshio 3 Wang, Shuxia 2 Geba, Dan-Andrei 2 Herr, Sebastian 2 Majdoub, Mohamed 1 Aloui, Lassaad 1 Arakawa, Tomoyuki 1 Bejenaru, Ioan 1 Candy, Timothy 1 Cao, Chongsheng 1 Chang, Shu-Ming 1 Cho, Yonggeun 1 Fang, Yung-Fu 1 Hani, Zaher 1 Hasegawa, Masahito 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, 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 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 Tohoku 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 Journal of the European Mathematical Society (JEMS) 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 Proceedings of the American Mathematical Society. Series B 1 Zurich Lectures in Advanced Mathematics all top 5 Fields 85 Partial differential equations (35-XX) 13 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 3 Operator theory (47-XX) 2 Harmonic analysis on Euclidean spaces (42-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 75 Publications have been cited 1,521 times in 897 Documents Cited by ▼ Year ▼ Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2. Zbl 0942.35159Nakanishi, Kenji 80 1999 Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 67 2007 Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 67 2011 Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations. Zbl 0991.35080Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 60 2002 Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002Nakanishi, Kenji; Schlag, Wilhelm 55 2011 Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. Zbl 1060.35025Machihara, Shuji; Nakamura, Makoto; Nakanishi, Kenji; Ozawa, Tohru 50 2005 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 49 2009 Scattering theory for the nonlinear Klein-Gordon equation with Sobolev critical power. Zbl 0933.35166Nakanishi, Kenji 48 1999 Energy convergence for singular limits of Zakharov type systems. Zbl 1143.35090Masmoudi, Nader; Nakanishi, Kenji 47 2008 Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148Nakanishi, K.; Schlag, W. 43 2012 From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations. Zbl 1008.35071Masmoudi, Nader; Nakanishi, Kenji 41 2002 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 41 2015 Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation. Zbl 1041.35061Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 37 2003 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 37 2004 Remarks on scattering for nonlinear Schrödinger equations. Zbl 0991.35082Nakanishi, Kenji; Ozawa, Tohru 36 2002 Trudinger-Moser inequality on the whole plane with the exact growth condition. Zbl 1317.35032Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 35 2015 From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070Masmoudi, Nader; Nakanishi, Kenji 33 2005 Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 33 2013 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 31 2006 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2007 Well-posedness for nonlinear Dirac equations in one dimension. Zbl 1248.35170Machihara, Shuji; Nakanishi, Kenji; Tsugawa, Kotaro 28 2010 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 28 2010 Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307Nakanishi, K.; Schlag, W. 28 2011 Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 27 2015 Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger. Zbl 1013.35078Masmoudi, Nader; Nakanishi, Kenji 25 2003 Energy scattering for Hartree equations. Zbl 0949.35104Nakanishi, Kenji 22 1999 Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations. Zbl 1037.35081Nakanishi, Kenji 22 2001 Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 22 2013 Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138Nakanishi, K.; Schlag, W. 20 2012 Asymptotically-free solutions for the short-range nonlinear Schrödinger equation. Zbl 0979.35132Nakanishi, Kenji 18 2001 Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre 17 2016 Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 17 2014 Scattering for the two-dimensional energy-critical wave equation. Zbl 1206.35175Ibrahim, Slim; Majdoub, Mohamed; Masmoudi, Nader; Nakanishi, Kenji 17 2009 Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity. Zbl 0926.35022Nakanishi, Kenji 16 1999 Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 16 2010 Small energy scattering for the Zakharov system with radial symmetry. Zbl 1303.35089Guo, Zihua; Nakanishi, Kenji 15 2014 Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. Zbl 1029.35199Masmoudi, Nader; Nakanishi, Kenji 14 2003 Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth. Zbl 1243.35122Aloui, L.; Ibrahim, S.; Nakanishi, K. 14 2011 Scattering for the 3D Gross-Pitaevskii equation. Zbl 1393.35221Guo, Zihua; Hani, Zaher; Nakanishi, Kenji 14 2018 Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 13 2001 Generalized Strichartz estimates and scattering for 3D Zakharov system. Zbl 1302.35336Guo, Zihua; Lee, Sanghyuk; Nakanishi, Kenji; Wang, Chengbo 13 2014 From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system. Zbl 1197.35244Masmoudi, Nader; Nakanishi, Kenji 13 2010 Global dynamics below the ground state energy for the Zakharov system in the 3D radial case. Zbl 1284.35369Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 12 2013 Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation. Zbl 1302.35260Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 11 2014 Uniqueness of solutions for Zakharov systems. Zbl 1176.35148Masmoudi, Nader; Nakanishi, Kenji 11 2009 Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002Krieger, J.; Nakanishi, K.; Schlag, W. 11 2012 Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential. Zbl 1383.35213Nakanishi, Kenji 11 2017 Scattering for the two-dimensional NLS with exponential nonlinearity. Zbl 1241.35188Ibrahim, S.; Majdoub, M.; Masmoudi, N.; Nakanishi, K. 10 2012 Modified wave operators for the Hartree equation with data, image and convergence in the same space. Zbl 1013.35056Nakanishi, Kenji 9 2002 Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037Nakanishi, K.; Schlag, W. 9 2012 Well-posedness and scattering for the Zakharov system in four dimensions. Zbl 1331.35093Bejenaru, Ioan; Guo, Zihua; Herr, Sebastian; Nakanishi, Kenji 9 2015 Modified wave operators for the Hartree equation with data, image and convergence in the same space. II. Zbl 1040.35054Nakanishi, K. 8 2002 On the global existence of semirelativistic Hartree equations. Zbl 1232.35135Cho, Yonggeun; Nakanishi, Kenji 8 2010 On the boundary Strichartz estimates for wave and Schrödinger equations. Zbl 1402.35056Guo, Zihua; Li, Ji; Nakanishi, Kenji; Yan, Lixin 8 2018 Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations. Zbl 1027.35128Nakanishi, Kenji 6 2002 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 6 2012 Multifrequency NLS scaling for a model equation of gravity-capillary waves. Zbl 1291.35358Masmoudi, Nader; Nakanishi, Kenji 6 2013 Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry. Zbl 1304.35691Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 5 2014 Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case. Zbl 1296.35191Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 5 2014 Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation. Zbl 1184.35215Nakanishi, Kenji 5 2008 Global well-posedness and scattering for Skyrme wave maps. Zbl 1264.35182Geba, Dan-Andrei; Nakanishi, Kenji; Rajeev, Sarada G. 5 2012 Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data. Zbl 1352.35165Nakanishi, Kenji; Roy, Tristan 4 2016 Global well-posedness and scattering for the quantum Zakharov system in \(L^2\). Zbl 1420.35352Fang, Yung-Fu; Nakanishi, Kenji 4 2019 Correction to: “Scattering threshold for the focusing nonlinear Klein-Gordon equation”. Zbl 1472.35063Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 3 2016 Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities. Zbl 1435.35142Ibrahim, S.; Masmoudi, N.; Nakanishi, K.; Sani, F. 3 2020 On global existence of solutions to nonlinear wave equations of wave map type. Zbl 0967.35096Nakanishi, Kenji; Ohta, Masahito 2 2000 Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential. Zbl 1375.35506Nakanishi, Kenji 2 2017 Global wellposedness for the energy-critical Zakharov system below the ground state. Zbl 1479.35766Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji 2 2021 Sharp global regularity for the \(2 + 1\)-dimensional equivariant Faddeev model. Zbl 1329.81408Geba, Dan-Andrei; Nakanishi, Kenji; Zhang, Xiang 1 2015 Two asymptotic problems for a singular nonlinear Schrödinger system. Zbl 1219.35284Masmoudi, Nader; Nakanishi, Kenji 1 2010 Scattering theory for the Gross-Pitaevskii equation. Zbl 1171.35475Nakanishi, Kenji 1 2008 Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331Murphy, Jason; Nakanishi, Kenji 1 2021 Non-uniqueness for an energy-critical heat equation on \({\mathbb{R}}^2\). Zbl 1466.35002Ibrahim, Slim; Kikuchi, Hiroaki; Nakanishi, Kenji; Wei, Juncheng 1 2021 Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation. Zbl 1420.35369Nakanishi, Kenji; Yamamoto, Takuto 1 2019 The Zakharov system in 4D radial energy space below the ground state. Zbl 07441098Guo, Zihua; Nakanishi, Kenji 1 2021 Global wellposedness for the energy-critical Zakharov system below the ground state. Zbl 1479.35766Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji 2 2021 Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331Murphy, Jason; Nakanishi, Kenji 1 2021 Non-uniqueness for an energy-critical heat equation on \({\mathbb{R}}^2\). Zbl 1466.35002Ibrahim, Slim; Kikuchi, Hiroaki; Nakanishi, Kenji; Wei, Juncheng 1 2021 The Zakharov system in 4D radial energy space below the ground state. Zbl 07441098Guo, Zihua; Nakanishi, Kenji 1 2021 Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities. Zbl 1435.35142Ibrahim, S.; Masmoudi, N.; Nakanishi, K.; Sani, F. 3 2020 Global well-posedness and scattering for the quantum Zakharov system in \(L^2\). Zbl 1420.35352Fang, Yung-Fu; Nakanishi, Kenji 4 2019 Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation. Zbl 1420.35369Nakanishi, Kenji; Yamamoto, Takuto 1 2019 Scattering for the 3D Gross-Pitaevskii equation. Zbl 1393.35221Guo, Zihua; Hani, Zaher; Nakanishi, Kenji 14 2018 On the boundary Strichartz estimates for wave and Schrödinger equations. Zbl 1402.35056Guo, Zihua; Li, Ji; Nakanishi, Kenji; Yan, Lixin 8 2018 Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential. Zbl 1383.35213Nakanishi, Kenji 11 2017 Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential. Zbl 1375.35506Nakanishi, Kenji 2 2017 Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre 17 2016 Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data. Zbl 1352.35165Nakanishi, Kenji; Roy, Tristan 4 2016 Correction to: “Scattering threshold for the focusing nonlinear Klein-Gordon equation”. Zbl 1472.35063Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 3 2016 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 41 2015 Trudinger-Moser inequality on the whole plane with the exact growth condition. Zbl 1317.35032Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 35 2015 Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 27 2015 Well-posedness and scattering for the Zakharov system in four dimensions. Zbl 1331.35093Bejenaru, Ioan; Guo, Zihua; Herr, Sebastian; Nakanishi, Kenji 9 2015 Sharp global regularity for the \(2 + 1\)-dimensional equivariant Faddeev model. Zbl 1329.81408Geba, Dan-Andrei; Nakanishi, Kenji; Zhang, Xiang 1 2015 Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 17 2014 Small energy scattering for the Zakharov system with radial symmetry. Zbl 1303.35089Guo, Zihua; Nakanishi, Kenji 15 2014 Generalized Strichartz estimates and scattering for 3D Zakharov system. Zbl 1302.35336Guo, Zihua; Lee, Sanghyuk; Nakanishi, Kenji; Wang, Chengbo 13 2014 Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation. Zbl 1302.35260Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 11 2014 Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry. Zbl 1304.35691Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 5 2014 Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case. Zbl 1296.35191Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 5 2014 Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 33 2013 Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm 22 2013 Global dynamics below the ground state energy for the Zakharov system in the 3D radial case. Zbl 1284.35369Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia 12 2013 Multifrequency NLS scaling for a model equation of gravity-capillary waves. Zbl 1291.35358Masmoudi, Nader; Nakanishi, Kenji 6 2013 Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148Nakanishi, K.; Schlag, W. 43 2012 Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138Nakanishi, K.; Schlag, W. 20 2012 Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002Krieger, J.; Nakanishi, K.; Schlag, W. 11 2012 Scattering for the two-dimensional NLS with exponential nonlinearity. Zbl 1241.35188Ibrahim, S.; Majdoub, M.; Masmoudi, N.; Nakanishi, K. 10 2012 Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037Nakanishi, K.; Schlag, W. 9 2012 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 6 2012 Global well-posedness and scattering for Skyrme wave maps. Zbl 1264.35182Geba, Dan-Andrei; Nakanishi, Kenji; Rajeev, Sarada G. 5 2012 Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji 67 2011 Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002Nakanishi, Kenji; Schlag, Wilhelm 55 2011 Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307Nakanishi, K.; Schlag, W. 28 2011 Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth. Zbl 1243.35122Aloui, L.; Ibrahim, S.; Nakanishi, K. 14 2011 Well-posedness for nonlinear Dirac equations in one dimension. Zbl 1248.35170Machihara, Shuji; Nakanishi, Kenji; Tsugawa, Kotaro 28 2010 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 28 2010 Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 16 2010 From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system. Zbl 1197.35244Masmoudi, Nader; Nakanishi, Kenji 13 2010 On the global existence of semirelativistic Hartree equations. Zbl 1232.35135Cho, Yonggeun; Nakanishi, Kenji 8 2010 Two asymptotic problems for a singular nonlinear Schrödinger system. Zbl 1219.35284Masmoudi, Nader; Nakanishi, Kenji 1 2010 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 49 2009 Scattering for the two-dimensional energy-critical wave equation. Zbl 1206.35175Ibrahim, Slim; Majdoub, Mohamed; Masmoudi, Nader; Nakanishi, Kenji 17 2009 Uniqueness of solutions for Zakharov systems. Zbl 1176.35148Masmoudi, Nader; Nakanishi, Kenji 11 2009 Energy convergence for singular limits of Zakharov type systems. Zbl 1143.35090Masmoudi, Nader; Nakanishi, Kenji 47 2008 Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation. Zbl 1184.35215Nakanishi, Kenji 5 2008 Scattering theory for the Gross-Pitaevskii equation. Zbl 1171.35475Nakanishi, Kenji 1 2008 Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 67 2007 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2007 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 31 2006 Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. Zbl 1060.35025Machihara, Shuji; Nakamura, Makoto; Nakanishi, Kenji; Ozawa, Tohru 50 2005 From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070Masmoudi, Nader; Nakanishi, Kenji 33 2005 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 37 2004 Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation. Zbl 1041.35061Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 37 2003 Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger. Zbl 1013.35078Masmoudi, Nader; Nakanishi, Kenji 25 2003 Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. Zbl 1029.35199Masmoudi, Nader; Nakanishi, Kenji 14 2003 Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations. Zbl 0991.35080Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru 60 2002 From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations. Zbl 1008.35071Masmoudi, Nader; Nakanishi, Kenji 41 2002 Remarks on scattering for nonlinear Schrödinger equations. Zbl 0991.35082Nakanishi, Kenji; Ozawa, Tohru 36 2002 Modified wave operators for the Hartree equation with data, image and convergence in the same space. Zbl 1013.35056Nakanishi, Kenji 9 2002 Modified wave operators for the Hartree equation with data, image and convergence in the same space. II. Zbl 1040.35054Nakanishi, K. 8 2002 Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations. Zbl 1027.35128Nakanishi, Kenji 6 2002 Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations. Zbl 1037.35081Nakanishi, Kenji 22 2001 Asymptotically-free solutions for the short-range nonlinear Schrödinger equation. Zbl 0979.35132Nakanishi, Kenji 18 2001 Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio 13 2001 On global existence of solutions to nonlinear wave equations of wave map type. Zbl 0967.35096Nakanishi, Kenji; Ohta, Masahito 2 2000 Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2. Zbl 0942.35159Nakanishi, Kenji 80 1999 Scattering theory for the nonlinear Klein-Gordon equation with Sobolev critical power. Zbl 0933.35166Nakanishi, Kenji 48 1999 Energy scattering for Hartree equations. Zbl 0949.35104Nakanishi, Kenji 22 1999 Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity. Zbl 0926.35022Nakanishi, Kenji 16 1999 all cited Publications top 5 cited Publications all top 5 Cited by 803 Authors 30 Nakanishi, Kenji 19 Ozawa, Tohru 18 Ibrahim, Slim 17 Masmoudi, Nader 17 Merle, Frank 17 Raphael, Pierre 16 Cuccagna, Scipio 16 Miao, Changxing 15 Martel, Yvan 14 Ionescu, Alexandru D. 14 Titi, Edriss Saleh 12 Guo, Boling 12 Lu, Guozhen 12 Naumkin, Ivan P. 12 Schratz, Katharina 12 Xu, Guixiang 11 Guo, Zihua 11 Saanouni, Tarek 11 Visan, Monica 10 Duyckaerts, Thomas 10 Maeda, Masaya 10 Zhang, Junyong 10 Zhao, Lifeng 10 Zhao, Xiaofei 9 Bao, Weizhu 9 Cazenave, Thierry 9 Killip, Rowan 9 Machihara, Shuji 9 Nakamura, Makoto 9 Zheng, Jiqiang 8 Herr, Sebastian 8 Ikeda, Masahiro 8 Kenig, Carlos Eduardo 8 Lu, Jing 8 Schlag, Wilhelm 8 Schneider, Guido 7 Carles, Rémi 7 Cho, Yonggeun 7 Collot, Charles 7 Donninger, Roland 7 Krieger, Joachim 7 Li, Jinkai 7 Muñoz, Claudio 7 Oh, Tadahiro 7 Okamoto, Mamoru 7 Pausader, Benoît 7 Pusateri, Fabio 7 Sani, Federica 7 Selberg, Sigmund 7 Vega, Luis 7 Visciglia, Nicola 7 Wang, Shu 6 Akahori, Takafumi 6 Boussaid, Nabile 6 Chen, Lu 6 D’Ancona, Piero 6 Georgiev, Vladimir S. 6 Germain, Pierre 6 Hayashi, Nakao 6 Holmer, Justin 6 Kikuchi, Hiroaki 6 Lam, Nguyen 6 Lawrie, Andrew G. W. 6 Lee, Sanghyuk 6 Li, Ze 6 Murphy, Jason 6 Roudenko, Svetlana 6 Stefanov, Atanas G. 6 Su, Chunmei 6 Yang, Jianwei 6 Zhang, Jingjun 6 Zhu, Maochun 5 Banica, Valeria 5 Bejenaru, Ioan 5 Cai, Yongyong 5 Cheng, Xing 5 Comech, Andrew 5 Côte, Raphaël 5 Düll, Wolf-Patrick 5 Gustafson, Stephen J. 5 Hidano, Kunio 5 Inui, Takahisa 5 Jendrej, Jacek 5 Naumkin, Pavel Ivanovich 5 Soffer, Avraham 5 Szeftel, Jérémie 5 Tarulli, Mirko 5 Tzvetkov, Nikolay 5 Wang, Baoxiang 5 Yao, Xiaohua 4 Audiard, Corentin 4 Baumstark, Simon 4 Cacciafesta, Federico 4 Candy, Timothy 4 Cao, Chongsheng 4 Colliander, James E. 4 de Suzzoni, Anne-Sophie 4 Fang, Daoyuan 4 Fang, Yung-Fu 4 Farah, Luiz Gustavo ...and 703 more Authors all top 5 Cited in 172 Serials 68 Journal of Differential Equations 47 Communications in Mathematical Physics 36 Discrete and Continuous Dynamical Systems 34 Journal of Functional Analysis 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Journal of Mathematical Analysis and Applications 25 Journal of Mathematical Physics 24 Archive for Rational Mechanics and Analysis 24 Communications in Partial Differential Equations 20 SIAM Journal on Mathematical Analysis 20 Communications in Contemporary Mathematics 19 Communications on Pure and Applied Analysis 16 Journal of Hyperbolic Differential Equations 15 Calculus of Variations and Partial Differential Equations 15 Journal of Evolution Equations 14 Advances in Mathematics 14 Transactions of the American Mathematical Society 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Nonlinearity 10 Proceedings of the American Mathematical Society 10 Acta Mathematica Sinica. English Series 9 Communications on Pure and Applied Mathematics 9 Mathematical Methods in the Applied Sciences 9 Memoirs of the American Mathematical Society 9 Séminaire Laurent Schwartz. EDP et Applications 8 Mathematische Annalen 8 Journal of the European Mathematical Society (JEMS) 7 Applicable Analysis 7 Duke Mathematical Journal 7 Inventiones Mathematicae 7 Physica D 7 Applied Numerical Mathematics 6 Journal of Computational Physics 6 Journal of Computational and Applied Mathematics 6 Journal of Dynamics and Differential Equations 6 NoDEA. Nonlinear Differential Equations and Applications 6 Annales Henri Poincaré 6 Discrete and Continuous Dynamical Systems. Series B 6 Analysis & PDE 6 Forum of Mathematics, Sigma 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Mathematics of Computation 5 Annales de l’Institut Fourier 5 Applied Mathematics and Computation 5 Quarterly of Applied Mathematics 5 Revista Matemática Iberoamericana 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 5 Science China. Mathematics 5 Annals of PDE 4 Computers & Mathematics with Applications 4 Journal of the Mathematical Society of Japan 4 Mathematische Nachrichten 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 The Journal of Geometric Analysis 4 Journal of Mathematical Fluid Mechanics 4 Advanced Nonlinear Studies 3 Journal d’Analyse Mathématique 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Zeitschrift 3 Applied Mathematics Letters 3 Asymptotic Analysis 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Geometric and Functional Analysis. GAFA 3 Journal of Inequalities and Applications 3 Boundary Value Problems 3 Evolution Equations and Control Theory 2 Acta Mathematica 2 Indiana University Mathematics Journal 2 Osaka Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tohoku Mathematical Journal. Second Series 2 Journal of the American Mathematical Society 2 Journal of Scientific Computing 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 The Journal of Fourier Analysis and Applications 2 Mathematical Physics, Analysis and Geometry 2 Annals of Mathematics. Second Series 2 Foundations of Computational Mathematics 2 Mediterranean Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 São Paulo Journal of Mathematical Sciences 2 Journal of Pseudo-Differential Operators and Applications 2 Kyoto Journal of Mathematics 2 Advances in Nonlinear Analysis 2 Minimax Theory and its Applications 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série ...and 72 more Serials all top 5 Cited in 36 Fields 844 Partial differential equations (35-XX) 98 Fluid mechanics (76-XX) 93 Quantum theory (81-XX) 65 Numerical analysis (65-XX) 53 Dynamical systems and ergodic theory (37-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 45 Functional analysis (46-XX) 35 Statistical mechanics, structure of matter (82-XX) 29 Operator theory (47-XX) 26 Geophysics (86-XX) 25 Global analysis, analysis on manifolds (58-XX) 23 Real functions (26-XX) 23 Optics, electromagnetic theory (78-XX) 11 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 6 Relativity and gravitational theory (83-XX) 5 Differential geometry (53-XX) 4 Integral equations (45-XX) 4 Systems theory; control (93-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year