## Nakanishi, Kenji

Compute Distance To:
 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)

### 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 0942.35159
Nakanishi, Kenji
1999
Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041
Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2007
Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2011
Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations. Zbl 0991.35080
Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru
2002
Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002
Nakanishi, Kenji; Schlag, Wilhelm
2011
Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. Zbl 1060.35025
Machihara, Shuji; Nakamura, Makoto; Nakanishi, Kenji; Ozawa, Tohru
2005
Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481
Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2009
Scattering theory for the nonlinear Klein-Gordon equation with Sobolev critical power. Zbl 0933.35166
Nakanishi, Kenji
1999
Energy convergence for singular limits of Zakharov type systems. Zbl 1143.35090
2008
Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148
Nakanishi, K.; Schlag, W.
2012
From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations. Zbl 1008.35071
2002
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.
2015
Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation. Zbl 1041.35061
Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru
2003
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
2004
Remarks on scattering for nonlinear Schrödinger equations. Zbl 0991.35082
Nakanishi, Kenji; Ozawa, Tohru
2002
Trudinger-Moser inequality on the whole plane with the exact growth condition. Zbl 1317.35032
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2015
From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070
2005
Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
2013
Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084
Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2006
Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485
Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2007
Well-posedness for nonlinear Dirac equations in one dimension. Zbl 1248.35170
Machihara, Shuji; Nakanishi, Kenji; Tsugawa, Kotaro
2010
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
2010
Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307
Nakanishi, K.; Schlag, W.
2011
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
2015
Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger. Zbl 1013.35078
2003
Energy scattering for Hartree equations. Zbl 0949.35104
Nakanishi, Kenji
1999
Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations. Zbl 1037.35081
Nakanishi, Kenji
2001
Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
2013
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138
Nakanishi, K.; Schlag, W.
2012
Asymptotically-free solutions for the short-range nonlinear Schrödinger equation. Zbl 0979.35132
Nakanishi, Kenji
2001
Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315
Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre
2016
Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
2014
Scattering for the two-dimensional energy-critical wave equation. Zbl 1206.35175
Ibrahim, Slim; Majdoub, Mohamed; Masmoudi, Nader; Nakanishi, Kenji
2009
Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity. Zbl 0926.35022
Nakanishi, Kenji
1999
Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2010
Small energy scattering for the Zakharov system with radial symmetry. Zbl 1303.35089
Guo, Zihua; Nakanishi, Kenji
2014
Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. Zbl 1029.35199
2003
Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth. Zbl 1243.35122
Aloui, L.; Ibrahim, S.; Nakanishi, K.
2011
Scattering for the 3D Gross-Pitaevskii equation. Zbl 1393.35221
Guo, Zihua; Hani, Zaher; Nakanishi, Kenji
2018
Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2001
Generalized Strichartz estimates and scattering for 3D Zakharov system. Zbl 1302.35336
Guo, Zihua; Lee, Sanghyuk; Nakanishi, Kenji; Wang, Chengbo
2014
From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system. Zbl 1197.35244
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
2013
Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation. Zbl 1302.35260
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2014
Uniqueness of solutions for Zakharov systems. Zbl 1176.35148
2009
Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002
Krieger, J.; Nakanishi, K.; Schlag, W.
2012
Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential. Zbl 1383.35213
Nakanishi, Kenji
2017
Scattering for the two-dimensional NLS with exponential nonlinearity. Zbl 1241.35188
Ibrahim, S.; Majdoub, M.; Masmoudi, N.; Nakanishi, K.
2012
Modified wave operators for the Hartree equation with data, image and convergence in the same space. Zbl 1013.35056
Nakanishi, Kenji
2002
Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037
Nakanishi, K.; Schlag, W.
2012
Well-posedness and scattering for the Zakharov system in four dimensions. Zbl 1331.35093
Bejenaru, Ioan; Guo, Zihua; Herr, Sebastian; Nakanishi, Kenji
2015
Modified wave operators for the Hartree equation with data, image and convergence in the same space. II. Zbl 1040.35054
Nakanishi, K.
2002
On the global existence of semirelativistic Hartree equations. Zbl 1232.35135
Cho, Yonggeun; Nakanishi, Kenji
2010
On the boundary Strichartz estimates for wave and Schrödinger equations. Zbl 1402.35056
Guo, Zihua; Li, Ji; Nakanishi, Kenji; Yan, Lixin
2018
Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations. Zbl 1027.35128
Nakanishi, Kenji
2002
Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng
2012
Multifrequency NLS scaling for a model equation of gravity-capillary waves. Zbl 1291.35358
2013
Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry. Zbl 1304.35691
Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia
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
2014
Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation. Zbl 1184.35215
Nakanishi, Kenji
2008
Global well-posedness and scattering for Skyrme wave maps. Zbl 1264.35182
Geba, Dan-Andrei; Nakanishi, Kenji; Rajeev, Sarada G.
2012
Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data. Zbl 1352.35165
Nakanishi, Kenji; Roy, Tristan
2016
Global well-posedness and scattering for the quantum Zakharov system in $$L^2$$. Zbl 1420.35352
Fang, Yung-Fu; Nakanishi, Kenji
2019
Correction to: “Scattering threshold for the focusing nonlinear Klein-Gordon equation”. Zbl 1472.35063
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2016
Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities. Zbl 1435.35142
Ibrahim, S.; Masmoudi, N.; Nakanishi, K.; Sani, F.
2020
On global existence of solutions to nonlinear wave equations of wave map type. Zbl 0967.35096
Nakanishi, Kenji; Ohta, Masahito
2000
Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential. Zbl 1375.35506
Nakanishi, Kenji
2017
Global wellposedness for the energy-critical Zakharov system below the ground state. Zbl 1479.35766
Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji
2021
Sharp global regularity for the $$2 + 1$$-dimensional equivariant Faddeev model. Zbl 1329.81408
Geba, Dan-Andrei; Nakanishi, Kenji; Zhang, Xiang
2015
Two asymptotic problems for a singular nonlinear Schrödinger system. Zbl 1219.35284
2010
Scattering theory for the Gross-Pitaevskii equation. Zbl 1171.35475
Nakanishi, Kenji
2008
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331
Murphy, Jason; Nakanishi, Kenji
2021
Non-uniqueness for an energy-critical heat equation on $${\mathbb{R}}^2$$. Zbl 1466.35002
Ibrahim, Slim; Kikuchi, Hiroaki; Nakanishi, Kenji; Wei, Juncheng
2021
Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation. Zbl 1420.35369
Nakanishi, Kenji; Yamamoto, Takuto
2019
The Zakharov system in 4D radial energy space below the ground state. Zbl 07441098
Guo, Zihua; Nakanishi, Kenji
2021
Global wellposedness for the energy-critical Zakharov system below the ground state. Zbl 1479.35766
Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji
2021
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331
Murphy, Jason; Nakanishi, Kenji
2021
Non-uniqueness for an energy-critical heat equation on $${\mathbb{R}}^2$$. Zbl 1466.35002
Ibrahim, Slim; Kikuchi, Hiroaki; Nakanishi, Kenji; Wei, Juncheng
2021
The Zakharov system in 4D radial energy space below the ground state. Zbl 07441098
Guo, Zihua; Nakanishi, Kenji
2021
Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities. Zbl 1435.35142
Ibrahim, S.; Masmoudi, N.; Nakanishi, K.; Sani, F.
2020
Global well-posedness and scattering for the quantum Zakharov system in $$L^2$$. Zbl 1420.35352
Fang, Yung-Fu; Nakanishi, Kenji
2019
Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation. Zbl 1420.35369
Nakanishi, Kenji; Yamamoto, Takuto
2019
Scattering for the 3D Gross-Pitaevskii equation. Zbl 1393.35221
Guo, Zihua; Hani, Zaher; Nakanishi, Kenji
2018
On the boundary Strichartz estimates for wave and Schrödinger equations. Zbl 1402.35056
Guo, Zihua; Li, Ji; Nakanishi, Kenji; Yan, Lixin
2018
Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential. Zbl 1383.35213
Nakanishi, Kenji
2017
Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential. Zbl 1375.35506
Nakanishi, Kenji
2017
Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315
Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre
2016
Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data. Zbl 1352.35165
Nakanishi, Kenji; Roy, Tristan
2016
Correction to: “Scattering threshold for the focusing nonlinear Klein-Gordon equation”. Zbl 1472.35063
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
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.
2015
Trudinger-Moser inequality on the whole plane with the exact growth condition. Zbl 1317.35032
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
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
2015
Well-posedness and scattering for the Zakharov system in four dimensions. Zbl 1331.35093
Bejenaru, Ioan; Guo, Zihua; Herr, Sebastian; Nakanishi, Kenji
2015
Sharp global regularity for the $$2 + 1$$-dimensional equivariant Faddeev model. Zbl 1329.81408
Geba, Dan-Andrei; Nakanishi, Kenji; Zhang, Xiang
2015
Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
2014
Small energy scattering for the Zakharov system with radial symmetry. Zbl 1303.35089
Guo, Zihua; Nakanishi, Kenji
2014
Generalized Strichartz estimates and scattering for 3D Zakharov system. Zbl 1302.35336
Guo, Zihua; Lee, Sanghyuk; Nakanishi, Kenji; Wang, Chengbo
2014
Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation. Zbl 1302.35260
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2014
Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry. Zbl 1304.35691
Guo, Zihua; Nakanishi, Kenji; Wang, Shuxia
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
2014
Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
2013
Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
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
2013
Multifrequency NLS scaling for a model equation of gravity-capillary waves. Zbl 1291.35358
2013
Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148
Nakanishi, K.; Schlag, W.
2012
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138
Nakanishi, K.; Schlag, W.
2012
Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002
Krieger, J.; Nakanishi, K.; Schlag, W.
2012
Scattering for the two-dimensional NLS with exponential nonlinearity. Zbl 1241.35188
Ibrahim, S.; Majdoub, M.; Masmoudi, N.; Nakanishi, K.
2012
Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037
Nakanishi, K.; Schlag, W.
2012
Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng
2012
Global well-posedness and scattering for Skyrme wave maps. Zbl 1264.35182
Geba, Dan-Andrei; Nakanishi, Kenji; Rajeev, Sarada G.
2012
Scattering threshold for the focusing nonlinear Klein-Gordon equation. Zbl 1270.35132
Ibrahim, Slim; Masmoudi, Nader; Nakanishi, Kenji
2011
Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002
Nakanishi, Kenji; Schlag, Wilhelm
2011
Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307
Nakanishi, K.; Schlag, W.
2011
Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth. Zbl 1243.35122
Aloui, L.; Ibrahim, S.; Nakanishi, K.
2011
Well-posedness for nonlinear Dirac equations in one dimension. Zbl 1248.35170
Machihara, Shuji; Nakanishi, Kenji; Tsugawa, Kotaro
2010
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
2010
Local well-posedness in low regularity of the mKdV equation with periodic boundary condition. Zbl 1198.35235
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2010
From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system. Zbl 1197.35244
2010
On the global existence of semirelativistic Hartree equations. Zbl 1232.35135
Cho, Yonggeun; Nakanishi, Kenji
2010
Two asymptotic problems for a singular nonlinear Schrödinger system. Zbl 1219.35284
2010
Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481
Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2009
Scattering for the two-dimensional energy-critical wave equation. Zbl 1206.35175
Ibrahim, Slim; Majdoub, Mohamed; Masmoudi, Nader; Nakanishi, Kenji
2009
Uniqueness of solutions for Zakharov systems. Zbl 1176.35148
2009
Energy convergence for singular limits of Zakharov type systems. Zbl 1143.35090
2008
Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation. Zbl 1184.35215
Nakanishi, Kenji
2008
Scattering theory for the Gross-Pitaevskii equation. Zbl 1171.35475
Nakanishi, Kenji
2008
Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041
Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2007
Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485
Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2007
Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084
Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng
2006
Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation. Zbl 1060.35025
Machihara, Shuji; Nakamura, Makoto; Nakanishi, Kenji; Ozawa, Tohru
2005
From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070
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
2004
Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation. Zbl 1041.35061
Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru
2003
Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger. Zbl 1013.35078
2003
Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. Zbl 1029.35199
2003
Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations. Zbl 0991.35080
Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru
2002
From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations. Zbl 1008.35071
2002
Remarks on scattering for nonlinear Schrödinger equations. Zbl 0991.35082
Nakanishi, Kenji; Ozawa, Tohru
2002
Modified wave operators for the Hartree equation with data, image and convergence in the same space. Zbl 1013.35056
Nakanishi, Kenji
2002
Modified wave operators for the Hartree equation with data, image and convergence in the same space. II. Zbl 1040.35054
Nakanishi, K.
2002
Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations. Zbl 1027.35128
Nakanishi, Kenji
2002
Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations. Zbl 1037.35081
Nakanishi, Kenji
2001
Asymptotically-free solutions for the short-range nonlinear Schrödinger equation. Zbl 0979.35132
Nakanishi, Kenji
2001
Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation. Zbl 1011.35119
Nakanishi, Kenji; Takaoka, Hideo; Tsutsumi, Yoshio
2001
On global existence of solutions to nonlinear wave equations of wave map type. Zbl 0967.35096
Nakanishi, Kenji; Ohta, Masahito
2000
Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2. Zbl 0942.35159
Nakanishi, Kenji
1999
Scattering theory for the nonlinear Klein-Gordon equation with Sobolev critical power. Zbl 0933.35166
Nakanishi, Kenji
1999
Energy scattering for Hartree equations. Zbl 0949.35104
Nakanishi, Kenji
1999
Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity. Zbl 0926.35022
Nakanishi, Kenji
1999
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
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### 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
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### 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)