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Author ID: nakanishi.kenji.1 Recent zbMATH articles by "Nakanishi, Kenji"
Published as: Nakanishi, Kenji; Nakanishi, K.; Nakanishi,Kenji
Further Spellings: 中西 賢次
Homepage: https://www.kurims.kyoto-u.ac.jp/en/list/nakanishi.html
External Links: ResearchGate
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

Publications by Year

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
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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
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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
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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)

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