## Hayashi, Nakao

Compute Distance To:
 Author ID: hayashi.nakao Published as: Hayashi, Nakao; Hayashi, N.; Hayashi, Nako; Hyashi, Nakao more...less Homepage: http://www.math.sci.osaka-u.ac.jp/~nhayashi/publication.html
 Documents Indexed: 239 Publications since 1981, including 2 Books 1 Contribution as Editor Co-Authors: 53 Co-Authors with 217 Joint Publications 872 Co-Co-Authors
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### Co-Authors

 23 single-authored 147 Naumkin, Pavel Ivanovich 46 Kaikina, Elena Igorevna 16 Ozawa, Tohru 9 Li, Chunhua 7 Kato, Keiichi 6 Hirata, Hitoshi 6 Saitoh, Saburou 6 Saut, Jean-Claude 6 Tsutsumi, Masayoshi 5 Ogawa, Takayoshi 4 Aikawa, Hiroaki 4 de Bouard, Anne 4 Uchida, Hidetake 3 Mendez Navarro, Jesus A. 3 Nakamitsu, Kuniaki 3 Niizato, Tomoyuki 3 Shishmarev, Ilya Andreevich 2 Bernal-Vílchis, Fernando 2 Esquivel, Liliana 2 Ito, Naoko 2 Kawahara, Yuichiro 2 Kobayashi, Seishirou 2 Pipolo, Patrick-Nicolas 2 Sánchez-Suárez, Isahi 2 Tonegawa, Satoshi 2 Yamazaki, Yasuko 1 Aoki, Kazuki 1 Ginibre, Jean 1 Guardado Zavala, J. L. 1 Guo, Zihua 1 Ikeda, Masahiro 1 Iro, Naoko 1 Isutsumi, Yoshio 1 Lin, Yiquan 1 Manzo, Reynaldo 1 Matos, Tonatiuh 1 Miao, Changxing 1 Mizumachi, Tetsu 1 Onda, Isao 1 Rodriguez Ceballos, Joel Arturo 1 Ruiz-Paredes, Hector Francisco 1 Sasaki, Hironobu 1 Shimomura, Akihiro 1 Sunagawa, Hideaki 1 Tanaka, Kazunaga 1 Tominaga, Masayo 1 Tomoeda, Kyoko 1 Tsutsumi, Yoshio 1 von Wahl, Wolf 1 Wang, Huimei 1 Wibowo, Ratno Bagus Edy 1 Yamamoto, Masahiro 1 Yanagisawa, Taku
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### Serials

 14 Differential and Integral Equations 12 Journal of Differential Equations 9 Communications in Mathematical Physics 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Mathematical Physics 8 Funkcialaj Ekvacioj. Serio Internacia 7 Journal of Functional Analysis 7 Annales de l’Institut Henri Poincaré. Physique Théorique 7 NoDEA. Nonlinear Differential Equations and Applications 6 Journal of Mathematical Analysis and Applications 6 SIAM Journal on Mathematical Analysis 5 Mathematische Zeitschrift 5 Communications in Partial Differential Equations 5 SUT Journal of Mathematics 5 Discrete and Continuous Dynamical Systems 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Hokkaido Mathematical Journal 4 Journal of the Mathematical Society of Japan 4 Electronic Journal of Differential Equations (EJDE) 4 RIMS Kokyuroku 4 Communications in Contemporary Mathematics 4 Journal of Evolution Equations 3 Mathematical Methods in the Applied Sciences 3 International Journal of Mathematics and Mathematical Sciences 3 Complex Variables. Theory and Application 3 IMRN. International Mathematics Research Notices 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Advances in Differential Equations 3 Communications on Pure and Applied Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Journal d’Analyse Mathématique 2 Nonlinearity 2 Duke Mathematical Journal 2 Manuscripta Mathematica 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Mathematical Physics, Analysis and Geometry 2 Annales Henri Poincaré 2 Journal of Hyperbolic Differential Equations 2 Pacific Journal of Applied Mathematics 2 Advances in Mathematical Physics 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Matematički Vesnik 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tôhoku Mathematical Journal. Second Series 1 Tsukuba Journal of Mathematics 1 Advances in Mathematics 1 Physica D 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Kyushu Journal of Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Doklady Mathematics 1 Taiwanese Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Differential Equations 1 International Journal of Pure and Applied Mathematics 1 Cubo 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Complex Variables and Elliptic Equations 1 Lecture Notes in Mathematics 1 North-Holland Mathematics Studies 1 Inverse Problems and Imaging 1 RIMS Kôkyûroku Bessatsu 1 Differential Equations and Applications 1 International Journal of Differential Equations 1 Journal of Pseudo-Differential Operators and Applications 1 SN Partial Differential Equations and Applications
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### Fields

 235 Partial differential equations (35-XX) 15 Quantum theory (81-XX) 12 Fluid mechanics (76-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

192 Publications have been cited 2,229 times in 1,011 Documents Cited by Year
Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025
de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude
1997
Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations. Zbl 0917.35128
Hayashi, Nakao; Naumkin, Pavel I.
1998
On the derivative nonlinear Schrödinger equation. Zbl 0741.35081
Hayashi, Nakao; Ozawa, Tohru
1992
On the global strong solutions of coupled Klein-Gordon-Schrödinger equations. Zbl 0657.35034
Hayashi, Nakao; von Wahl, Wolf
1987
The initial value problem for the derivative nonlinear Schrödinger equation in the energy space. Zbl 0787.35099
Hayashi, Nakao
1993
The initial value problem for the cubic nonlinear Klein-Gordon equation. Zbl 1190.35199
Hayashi, Nakao; Naumkin, Pavel I.
2008
On solutions on the initial value problem for the nonlinear Schrödinger equations. Zbl 0657.35033
Hayashi, Nakao; Nakamitsu, Kuniaki; Tsutsumi, Masayoshi
1987
Finite energy solutions of nonlinear Schrödinger equations of derivative type. Zbl 0809.35124
Hayashi, Nakao; Ozawa, Tohru
1994
Damped wave equation with super critical nonlinearities. Zbl 1224.35281
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2004
Nonlinear theory of pseudodifferential equations on a half-line. Zbl 1063.35154
Hayashi, Nakao; Kaikina, Elena
2004
Scattering theory in the weighted $$L^ 2({\mathbb{R}}^ n)$$ spaces for some Schrödinger equations. Zbl 0659.35078
Hayashi, Nakao; Ozawa, Tohru
1988
Remarks on nonlinear Schrödinger equations in one space dimension. Zbl 0803.35137
Hayashi, Nakao; Ozawa, Tohru
1994
On solutions of the initial value problem for the nonlinear Schrödinger equations in one space dimension. Zbl 0617.35025
Hayashi, Nakao; Nakamitsu, Kuniaki; Tsutsumi, Masayoshi
1986
On a system of nonlinear Schrödinger equations with quadratic interaction. Zbl 1291.35347
Hayashi, Nakao; Ozawa, Tohru; Tanaka, Kazunaga
2013
Asymptotics for dissipative nonlinear equations. Zbl 1130.35001
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, I. A.
2006
Damped wave equation with a critical nonlinearity. Zbl 1081.35104
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2006
Analyticity of solutions of the Korteweg-de Vries equation. Zbl 0742.35056
Hayashi, Nakao
1991
Global existence of small solutions to quadratic nonlinear Schrödinger equations. Zbl 0786.35120
Hayashi, Nakao
1993
Large time behavior of solutions for the modified Korteweg-de Vries equation. Zbl 0936.35126
Hayashi, Nakao; Naumkin, Pavel I.
1999
Analyticity and smoothing effect for the Schrödinger equation. Zbl 0731.35047
Hayashi, Nakao; Saitoh, Saburou
1990
Small data scattering for a system of nonlinear Schrödinger equations. Zbl 1241.35187
Hayashi, Nakao; Li, Chunhua; Ozawa, Tohru
2011
Smoothing effect for some Schrödinger equations. Zbl 0681.35079
Hayashi, Nakao; Ozawa, Tohru
1989
Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations. Zbl 0843.35098
de Bouard, Anne; Hayashi, Nakao; Kato, Keiichi
1995
On a system of nonlinear Schrödinger equations in 2D. Zbl 1249.35305
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2011
Scattering theory for Hartree type equations. Zbl 0634.35059
Hayashi, Nakao; Isutsumi, Yoshio
1987
Analyticity in time and smoothing effect of solutions to nonlinear Schrödinger equations. Zbl 0871.35087
Hayashi, Nakao; Kato, Keiichi
1997
Modified wave operators for the derivative nonlinear Schrödinger equation. Zbl 0791.35124
Hayashi, Nakao; Ozawa, Tohru
1994
Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity. Zbl 1113.81121
Hayashi, Nakao; Naumkin, Pavel I.
2006
Analyticity and global existence of small solutions to some nonlinear Schrödinger equations. Zbl 0705.35132
Hayashi, Nakao; Saitoh, Saburou
1990
Large time asymptotics of solutions to the generalized Benjamin-Ono equation. Zbl 0903.35066
Hayashi, Nakao; Naumkin, Pavel I.
1999
On the inhomogeneous fourth-order nonlinear Schrödinger equation. Zbl 1328.35212
Hayashi, Nakao; Naumkin, Pavel I.
2015
Global existence of small solutions to the Davey-Stewartson and the Ishimori systems. Zbl 0827.35120
Hayashi, Nakao; Saut, Jean-Claude
1995
Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation. Zbl 0970.35139
Hayashi, N.; Kaikina, E. I.; Naumkin, P. I.
2000
Modified wave operator for a system of nonlinear Schrödinger equations in 2d. Zbl 1244.35135
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2012
Global existence of small analytic solutions to nonlinear Schrödinger equations. Zbl 0721.35026
Hayashi, Nakao
1990
Damped wave equation in the subcritical case. Zbl 1072.35109
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2004
Factorization technique for the fourth-order nonlinear Schrödinger equation. Zbl 1327.35351
Hayashi, Nakao; Naumkin, Pavel I.
2015
Asymptotics of small solutions to nonlinear Schrödinger equations with cubic nonlinearities. Zbl 1018.35070
Hayashi, Nakao; Naumkin, Pavel I.
2002
Benjamin-Ono equation on a half-line. Zbl 1187.35014
Hayashi, Nakao; Kaikina, Elena I.
2010
Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1311.35285
Hayashi, Nakao; Naumkin, Pavel I.
2015
$$L^{\infty}({\mathbb{R}}^ n)$$-decay of classical solutions for nonlinear Schrödinger equations. Zbl 0651.35014
Hayashi, Nakao; Tsutsumi, Masayoshi
1986
On the critical nonlinear damped wave equation with large initial data. Zbl 1195.35220
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2007
On the modified Korteweg–de Vries equation. Zbl 0994.35107
Hayashi, Nakao; Naumkin, Pavel
2001
Classical solutions of nonlinear Schrödinger equations in higher dimensions. Zbl 0438.35028
Tsutsumi, Masayoshi; Hayashi, Nakao
1981
Large time asymptotics of solutions to the generalized Korteweg-de Vries equation. Zbl 0915.35093
Hayashi, Nakao; Naumkin, Pavel I.
1998
Scattering operator for nonlinear Klein-Gordon equations. Zbl 1182.35198
Hayashi, Nakao; Naumkin, Pavel I.
2009
Global existence and asymptotic behaviour in time of small solutions to the elliptic-hyperbolic Davey-Stewartson system. Zbl 0906.35096
Hayashi, Nakao; Hirata, Hitoshi
1996
Scattering theory for the Hartree equation. Zbl 0916.35110
Hayashi, Nakao; Naumkin, Pavel I.; Ozawa, Tohru
1998
Time decay for nonlinear dissipative Schrödinger equations in optical fields. Zbl 1403.35046
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2016
On the quadratic nonlinear Schrödinger equation in three space dimensions. Zbl 1004.35112
Hayashi, Nakao; Naumkin, Pavel I.
2000
Classical solutions of nonlinear Schrödinger equations. Zbl 0597.35049
Hayashi, Nakao
1986
Local existence in time of small solutions to the elliptic-hyperbolic Davey-Stewartson system in the usual Sobolev space. Zbl 0910.35113
Hayashi, Nakao; Hirata, Hitoshi
1997
Large time asymptotics for the fourth-order nonlinear Schrödinger equation. Zbl 1303.35100
Hayashi, Nakao; Naumkin, Pavel I.
2015
Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1353.35262
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I.
2016
Quadratic nonlinear Klein-Gordon equation in one dimension. Zbl 1282.35347
Hayashi, Nakao; Naumkin, Pavel I.
2012
Dilation method and smoothing effects of solutions to the Benjamin-Ono equation. Zbl 0847.35129
Hayashi, Nako; Kato, Keiichi; Ozawa, Tohru
1996
Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations. Zbl 0648.35078
Hayashi, Nakao; Ozawa, Tohru
1987
Solutions of the (generalized) Korteweg-de Vries equation in the Bergman and the Szegö spaces on a sector. Zbl 0729.35119
Hayashi, Nakao
1991
Modified wave operators for nonlinear Schrödinger equations in one and two dimensions. Zbl 1064.35188
Hayashi, Nakao; Naumkin, Pavel I.; Shimomura, Akihiro; Tonegawa, Satoshi
2004
On the Schrödinger equation with dissipative nonlinearities of derivative type. Zbl 1168.35434
Hayashi, Nakao; Naumkin, Pavel I.; Sunagawa, Hideaki
2008
Large time behavior of solutions for derivative cubic nonlinear Schrödinger equations. Zbl 0945.35083
Hayashi, Nakao; Naumkin, Pavel I.; Uchida, Hidetake
1999
Time decay of solutions to the Schrödinger equation in exterior domains. I, II. Zbl 0684.35019
Hayashi, Nakao
1989
Large time behavior for the cubic nonlinear Schrödinger equation. Zbl 1012.35079
Hayashi, Nakao; Naumkin, Pavel I.
2002
Almost global existence of small solutions to quadratic nonlinear Schrödinger equations in three space dimensions. Zbl 0824.35026
Ginibre, J.; Hayashi, N.
1995
Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain. Zbl 0839.35081
Hayashi, Nakao
1995
Global strong solutions of coupled Klein-Gordon-Schrödinger equations. Zbl 0641.35055
Hayashi, Nakao
1986
Local existence in time of solutions to the elliptic-hyperbolic Davey-Stewartson system without smallness condition on the data. Zbl 0907.35120
Hayashi, Nakao
1997
Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions. Zbl 1136.35079
Hayashi, Nakao; Naumkin, Pavel I.
2008
Final state problem for the cubic nonlinear Klein-Gordon equation. Zbl 1283.35056
Hayashi, Nakao; Naumkin, Pavel I.
2009
Asymptotics for the Korteweg-de Vries-Burgers equation. Zbl 1104.35046
Hayashi, Nakao; Naumkin, Pavel I.
2006
Remarks on the scattering problem for nonlinear Schrödinger equations. Zbl 0633.35059
Hayashi, Nakao; Tsutsumi, Yoshio
1987
Logarithmic time decay for the cubic nonlinear Schrödinger equations. Zbl 1330.35401
Hayashi, Nakao; Naumkin, Pavel I.
2015
Large time asymptotics for the BBM-Burgers equation. Zbl 1131.35071
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2007
Asymptotics for the third-order nonlinear Schrödinger equation in the critical case. Zbl 1364.35335
Hayashi, Nakao; Kaikina, Elena I.
2017
The Bergman space on a sector and the heat equation. Zbl 0704.30012
Aikawa, Hiroaki; Hayashi, Nakao; Saitoh, Saburou
1990
Smoothing effect for nonlinear Schrödinger equations in exterior domains. Zbl 0706.35128
Hayashi, Nakao
1990
Regularity in time of solutions to nonlinear Schrödinger equations. Zbl 0876.35108
Hayashi, Nakao; Kato, Keiichi
1995
Scattering of solutions to the fourth-order nonlinear Schrödinger equation. Zbl 1345.35101
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I.
2016
Global existence of small analytic solutions to Schrödinger equations with quadratic nonlinearity. Zbl 0881.35106
Hayashi, Nakao; Kato, Keiichi
1997
On the boundary-value problem for the Korteweg-de Vries equation. Zbl 1050.35099
Hayashi, Nakao; Kaikina, Elena I.; Guardado Zavala, J. L.
2003
Global existence and time decay of small solutions to the Landau-Ginzburg type equations. Zbl 1173.35532
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2003
Global existence of small solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1367.35148
Aoki, Kazuki; Hayashi, Nakao; Naumkin, Pavel I.
2016
Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147
de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
1999
Global existence of small solutions to the generalized derivative nonlinear Schrödinger equation. Zbl 0937.35171
Hayashi, Nakao; Miao, Changxing; Naumkin, Pavel I.
1999
Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces. Zbl 1249.35306
Hayashi, Nakao; Naumkin, Pavel I.
2011
Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation. Zbl 0934.35163
Hayashi, Nakao; Naumkin, Pavel I.
1998
On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension. Zbl 0921.35163
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
1998
Time decay for some Schrödinger equations. Zbl 0646.35020
Hayashi, Nakao; Ozawa, Tohru
1989
Critical nonlinear Schrödinger equations with data in homogeneous weighted $$\mathbf L^2$$ spaces. Zbl 1296.35171
Li, Chunhua; Hayashi, Nakao
2014
Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques. Zbl 1406.35350
Esquivel, Liliana; Hayashi, Nakao; Kaikina, Elena I.
2019
Landau-Ginzburg type equations in the subcritical case. Zbl 1020.35103
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2003
Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D. Zbl 1031.35134
Hayashi, Nakao; Mizumachi, Tetsu; Naumkin, Pavel I.
2003
Asymptotic for fractional nonlinear heat equations. Zbl 1183.35037
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2005
Global, small radially symmetric solutions to nonlinear Schrödinger equations and a gauge transformation. Zbl 0823.35157
Hayashi, Nakao; Ozawa, Tohru
1995
Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential. Zbl 0985.35083
Hayashi, Nakao; Naumkin, Pavel I.
2001
Local existence in time of small solutions to the Davey-Stewartson systems. Zbl 0869.35083
Hayashi, Nakao
1996
Global existence of small radially symmetric solutions to quadratic nonlinear evolution equations in an exterior domain. Zbl 0801.35129
Hayashi, Nakao
1994
Factorization technique for the modified Korteweg-de Vries equation. Zbl 1358.35118
Hayashi, Nakao; Naumkin, Pavel I.
2016
Large time behavior of solutions for derivative cubic nonlinear Schrödinger equations without a self-conjugate property. Zbl 1141.35459
Hayashi, Nakao; Naumkin, Pavel I.
1999
Large time behavior of solutions to the Landau-Ginzburg type equations. Zbl 1142.35456
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2001
Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space. Zbl 07442501
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
2021
Higher-order nonlinear Schrödinger equation in 2D case. Zbl 1437.35629
Hayashi, Nakao; Naumkin, Pavel I.
2020
Neumann inhomogeneous initial-boundary value problem for the $$2D$$ nonlinear Schrödinger equation. Zbl 1433.35276
Hayashi, Nakao; Kaikina, Elena
2020
Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data. Zbl 1437.35628
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
2020
Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061
Hayashi, Nakao; Naumkin, Pavel I.
2020
Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques. Zbl 1406.35350
Esquivel, Liliana; Hayashi, Nakao; Kaikina, Elena I.
2019
Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane. Zbl 1428.35361
Hayashi, Nakao; Kaikina, Elena I.
2019
Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques. Zbl 1428.35505
Esquivel, Liliana; Hayashi, Nakao; Kaikina, Elena I.
2019
Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491
Hayashi, Nakao; Naumkin, Pavel I.
2018
Asymptotics for the modified Whitham equation. Zbl 1397.35210
Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi
2018
Critical nonlinear Schrödinger equations in higher space dimensions. Zbl 1408.35173
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2018
Large time asymptotics of solutions for the modified KdV equation with a fifth-order dispersive term. Zbl 1411.35226
Hayashi, Nakao; Naumkin, Pavel I.
2018
Asymptotics for the third-order nonlinear Schrödinger equation in the critical case. Zbl 1364.35335
Hayashi, Nakao; Kaikina, Elena I.
2017
Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations. Zbl 1365.35154
Hayashi, Nakao; Naumkin, Pavel I.
2017
Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations. Zbl 1372.35284
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2017
Damped wave equation with a critical nonlinearity in higher space dimensions. Zbl 1368.35187
Hayashi, Nakao; Naumkin, Pavel I.
2017
Time decay for nonlinear dissipative Schrödinger equations in optical fields. Zbl 1403.35046
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2016
Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1353.35262
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I.
2016
Scattering of solutions to the fourth-order nonlinear Schrödinger equation. Zbl 1345.35101
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I.
2016
Global existence of small solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1367.35148
Aoki, Kazuki; Hayashi, Nakao; Naumkin, Pavel I.
2016
Factorization technique for the modified Korteweg-de Vries equation. Zbl 1358.35118
Hayashi, Nakao; Naumkin, Pavel I.
2016
Nonlinear Schrödinger systems in 2d with nondecaying final data. Zbl 1328.35211
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2016
A bilinear estimate and its application to a quadratic nonlinear Klein-Gordon equation in two space dimensions. Zbl 1338.35296
Hayashi, Nakao; Naumkin, Pavel I.
2016
On the inhomogeneous fourth-order nonlinear Schrödinger equation. Zbl 1328.35212
Hayashi, Nakao; Naumkin, Pavel I.
2015
Factorization technique for the fourth-order nonlinear Schrödinger equation. Zbl 1327.35351
Hayashi, Nakao; Naumkin, Pavel I.
2015
Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1311.35285
Hayashi, Nakao; Naumkin, Pavel I.
2015
Large time asymptotics for the fourth-order nonlinear Schrödinger equation. Zbl 1303.35100
Hayashi, Nakao; Naumkin, Pavel I.
2015
Logarithmic time decay for the cubic nonlinear Schrödinger equations. Zbl 1330.35401
Hayashi, Nakao; Naumkin, Pavel I.
2015
Large time asymptotics for the reduced Ostrovsky equation. Zbl 1319.35190
Hayashi, Nakao; Naumkin, Pavel I.
2015
Scattering operator for semirelativistic Hartree type equation with a short range potential. Zbl 1374.35330
Hayashi, Nakao; Naumkin, Pavel I.; Ogawa, Takayoshi
2015
Remark on a weakly coupled system of nonlinear damped wave equations. Zbl 1320.35202
Hayashi, Nakao; Naumkin, Pavel I.; Tominaga, Masayo
2015
Critical nonlinear Schrödinger equations with data in homogeneous weighted $$\mathbf L^2$$ spaces. Zbl 1296.35171
Li, Chunhua; Hayashi, Nakao
2014
Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation. Zbl 1338.35301
Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki
2014
On the new critical exponent for the nonlinear Schrödinger equations. Zbl 1297.35216
Hayashi, Nakao; Naumkin, Pavel I.
2014
Large time asymptotics for the Kadomtsev-Petviashvili equation. Zbl 1318.35098
Hayashi, Nakao; Naumkin, Pavel I.
2014
On the generalized reduced Ostrovsky equation. Zbl 1326.35273
Hayashi, Nakao; Naumkin, Pavel I.
2014
On a system of nonlinear Schrödinger equations with quadratic interaction. Zbl 1291.35347
Hayashi, Nakao; Ozawa, Tohru; Tanaka, Kazunaga
2013
Asymptotics of solutions to the generalized Ostrovsky equation. Zbl 1286.35077
Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki
2013
Modified scattering operator for the derivative nonlinear Schrödinger equation. Zbl 1294.35137
Guo, Zihua; Hayashi, Nakao; Lin, Yiquan; Naumkin, Pavel I.
2013
Scattering problem for quadratic nonlinear Klein-Gordon equation in 2D. Zbl 1273.35251
Hayashi, Nakao; Naumkin, Pavel I.
2013
A system of quadratic nonlinear Klein-Gordon equations in 2d. Zbl 1267.35123
Hayashi, Nakao; Naumkin, Pavel I.
2013
Modified wave operator for a system of nonlinear Schrödinger equations in 2d. Zbl 1244.35135
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2012
Quadratic nonlinear Klein-Gordon equation in one dimension. Zbl 1282.35347
Hayashi, Nakao; Naumkin, Pavel I.
2012
Neumann initial-boundary value problem for Benjamin-Ono equation. Zbl 1232.35128
Hayashi, Nakao; Kaikina, Elena I.
2012
Global existence for two dimensional quadratic derivative nonlinear Schrödinger equations. Zbl 1247.35145
Hayashi, Nakao; Naumkin, Pavel I.
2012
Global existence of solutions to nonlinear dispersive wave equations. Zbl 1265.35331
Hayashi, Nakao; Kobayashi, Seishirou; Naumkin, Pavel I.
2012
Almost global existence of solutions to the Kadomtsev-Petviashvili equations. Zbl 1244.35125
Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki
2012
Nonexistence of asymptotically free solutions to nonlinear Schrödinger systems. Zbl 1254.35208
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2012
Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions revisited. Zbl 1252.35251
Hayashi, Nakao; Naumkin, Pavel I.; Tonegawa, Satoshi
2012
Small data scattering for a system of nonlinear Schrödinger equations. Zbl 1241.35187
Hayashi, Nakao; Li, Chunhua; Ozawa, Tohru
2011
On a system of nonlinear Schrödinger equations in 2D. Zbl 1249.35305
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
2011
Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces. Zbl 1249.35306
Hayashi, Nakao; Naumkin, Pavel I.
2011
Modified wave operators for nonlinear Schrödinger equations in lower order Sobolev spaces. Zbl 1291.35348
Hayashi, Nakao; Wang, Huimei; Naumkin, Pavel I.
2011
Wave operator for the system of the Dirac-Klein-Gordon equations. Zbl 1221.35246
Hayashi, Nakao; Ikeda, Masahiro; Naumkin, Pavel I.
2011
Quadratic derivative nonlinear Schrödinger equations in two space dimensions. Zbl 1228.35217
Bernal-Vílchis, Fernando; Hayashi, Nakao; Naumkin, Pavel I.
2011
Remark on the global existence and large time asymptotics of solutions for the quadratic NLS. Zbl 1229.35262
Hayashi, Nakao; Naumkin, Pavel I.
2011
Asymptotics for nonlinear heat equations. Zbl 1225.35028
Hayashi, Nakao; Naumkin, Pavel I.
2011
Benjamin-Ono equation on a half-line. Zbl 1187.35014
Hayashi, Nakao; Kaikina, Elena I.
2010
The initial value problem for the quadratic nonlinear Klein-Gordon equation. Zbl 1201.81048
Hayashi, Nakao; Naumkin, Pavel I.
2010
Analyticity for higher order nonlinear dispersive equations. Zbl 1214.35063
Hayashi, Nakao; Tomoeda, Kyoko; Yanagisawa, Taku
2010
Asymptotics for large time of solutions for cubic nonlinear Schrödinger equations. Zbl 1211.35251
Hayashi, Nakao; Naumkin, Pavel I.
2010
Scattering operator for nonlinear Klein-Gordon equations. Zbl 1182.35198
Hayashi, Nakao; Naumkin, Pavel I.
2009
Final state problem for the cubic nonlinear Klein-Gordon equation. Zbl 1283.35056
Hayashi, Nakao; Naumkin, Pavel I.
2009
Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions. Zbl 1173.35599
Hayashi, Nakao; Naumkin, Pavel I.
2009
Asymptotics of odd solutions for cubic nonlinear Schrödinger equations. Zbl 1156.35089
Hayashi, Nakao; Naumkin, Pavel I.
2009
The initial value problem for the cubic nonlinear Klein-Gordon equation. Zbl 1190.35199
Hayashi, Nakao; Naumkin, Pavel I.
2008
On the Schrödinger equation with dissipative nonlinearities of derivative type. Zbl 1168.35434
Hayashi, Nakao; Naumkin, Pavel I.; Sunagawa, Hideaki
2008
Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions. Zbl 1136.35079
Hayashi, Nakao; Naumkin, Pavel I.
2008
Nonlinear scattering for a system of nonlinear Klein-Gordon equations. Zbl 1152.81467
Hayashi, Nakao; Naumkin, Pavel I.; Wibowo, Ratno Bagus Edy
2008
Asymptotic properties of solutions to dispersive equation of Schrödinger type. Zbl 1156.35088
Hayashi, Nakao; Naumkin, Pavel I.
2008
Nonlinear scattering for a system of one dimensional nonlinear Klein-Gordon equations. Zbl 1172.35454
Hayashi, Nakao; Naumkin, Pavel I.
2008
Asymptotic behavior for a quadratic nonlinear Schrödinger equation. Zbl 1136.35324
Hayashi, Nakao; Naumkin, Pavel I.
2008
On the critical nonlinear damped wave equation with large initial data. Zbl 1195.35220
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2007
Large time asymptotics for the BBM-Burgers equation. Zbl 1131.35071
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2007
Asymptotics for nonlinear damped wave equations with large initial data. Zbl 1132.35447
Hayashi, Nakao; Kaikina, E. I.; Naumkin, P. I.
2007
Subcritical nonlinear heat equation. Zbl 1132.35046
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2007
Modified wave operator for Schrödinger type equations with subcritical dissipative nonlinearities. Zbl 1122.35134
Hayashi, Nakao; Naumkin, Pavel I.
2007
Nongauge invariant cubic nonlinear Schrödinger equations. Zbl 1152.35494
Hayashi, Nakao; Naumkin, Pavel I.
2007
Asymptotics for dissipative nonlinear equations. Zbl 1130.35001
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, I. A.
2006
Damped wave equation with a critical nonlinearity. Zbl 1081.35104
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2006
Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity. Zbl 1113.81121
Hayashi, Nakao; Naumkin, Pavel I.
2006
Asymptotics for the Korteweg-de Vries-Burgers equation. Zbl 1104.35046
Hayashi, Nakao; Naumkin, Pavel I.
2006
Asymptotics in time of solutions to nonlinear Schrödinger equations in two space dimensions. Zbl 1185.35020
Hayashi, Nakao; Naumkin, Pavel I.
2006
Final state problem for Korteweg-de Vries type equations. Zbl 1112.35138
Hayashi, Nakao; Naumkin, Pavel I.
2006
Neumann problem for the Korteweg–de Vries equation. Zbl 1105.35106
Hayashi, Nakao; Kaikina, Elena I.
2006
Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D. Zbl 1106.35098
Hayashi, Nakao; Kawahara, Yuichiro; Naumkin, Pavel I.
2006
Asymptotic for fractional nonlinear heat equations. Zbl 1183.35037
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2005
Large time decay of solutions to Burgers type equations. Zbl 1081.35088
Hayashi, Nakao; Ito, Naoko; Kaikina, Elena I.; Naumkin, Pavel I.
2005
Damped wave equation with super critical nonlinearities. Zbl 1224.35281
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2004
Nonlinear theory of pseudodifferential equations on a half-line. Zbl 1063.35154
Hayashi, Nakao; Kaikina, Elena
2004
Damped wave equation in the subcritical case. Zbl 1072.35109
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2004
Modified wave operators for nonlinear Schrödinger equations in one and two dimensions. Zbl 1064.35188
Hayashi, Nakao; Naumkin, Pavel I.; Shimomura, Akihiro; Tonegawa, Satoshi
2004
On the asymptotics for cubic nonlinear Schrödinger equations. Zbl 1064.35187
Hayashi, Nakao; Naumkin, Pavel I.
2004
On some nonlinear dissipative equations with sub-critical nonlinearities. Zbl 1052.35087
Hayashi, Nakao; Ito, Naoko; Kaikina, Elena I.; Naumkin, Pavel I.
2004
Large time behavior od small solutions to Dirichlet problem for Landau-Ginzburg type equations. Zbl 1206.35045
Hayashi, Nakao; Iro, Naoko; Kaikina, Elena I.; Naumkin, Pavel I.
2004
On the boundary-value problem for the Korteweg-de Vries equation. Zbl 1050.35099
Hayashi, Nakao; Kaikina, Elena I.; Guardado Zavala, J. L.
2003
Global existence and time decay of small solutions to the Landau-Ginzburg type equations. Zbl 1173.35532
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2003
Landau-Ginzburg type equations in the subcritical case. Zbl 1020.35103
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2003
Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D. Zbl 1031.35134
Hayashi, Nakao; Mizumachi, Tetsu; Naumkin, Pavel I.
2003
Asymptotics for the Burgers equation with pumping. Zbl 1023.35017
Hayashi, Nakao; Naumkin, Pavel I.
2003
...and 92 more Documents
all top 5

### Cited by 847 Authors

 113 Hayashi, Nakao 88 Naumkin, Pavel Ivanovich 62 Kaikina, Elena Igorevna 41 Ozawa, Tohru 16 Hoshino, Gaku 14 Ikeda, Masahiro 14 Nishihara, Kenji 14 Ponce, Gustavo 13 Deng, Yinbin 13 Sunagawa, Hideaki 13 Wakasugi, Yuta 13 Wang, Baoxiang 12 Guo, Boling 12 Ogawa, Takayoshi 11 Naumkin, Ivan P. 11 Okamoto, Mamoru 11 Pusateri, Fabio 11 Segata, Jun-ichi 11 Vega, Luis 10 Saut, Jean-Claude 9 Guo, Yuxia 9 Kenig, Carlos Eduardo 9 Li, Chunhua 9 Masaki, Satoshi 9 Takeda, Hiroshi 9 Uriya, Kota 9 Wang, Zhi-Qiang 8 Hirayama, Hiroyuki 8 Inui, Takahisa 8 Li, Yongsheng 8 Liu, Jiaquan 8 Pastor, Ademir 8 Sasaki, Hironobu 8 Sulem, Catherine 8 Tang, Xianhua 8 Wang, Youjun 7 Aristov, Anatoliĭ Igorevich 7 Chen, Jianhua 7 Cheng, Bitao 7 Ginibre, Jean 7 Katayama, Soichiro 7 Miao, Changxing 7 Shi, Qihong 7 Xu, Guixiang 6 Cazenave, Thierry 6 Chen, Caisheng 6 Da Silva, Edcarlos Domingos 6 Germain, Pierre 6 Ionescu, Alexandru D. 6 Juárez-Campos, Beatriz 6 Kalisch, Henrik 6 Saitoh, Saburou 6 Vera Villagrán, Octavio Paulo 6 Wang, Shu 6 Wu, Xian 5 Aliev, Akbar B. 5 Árciga-Alejandre, Martín P. 5 Côte, Raphaël 5 Dinh, Van Duong 5 Esquivel, Liliana 5 Fujiwara, Kazumasa 5 Grujić, Zoran 5 Himonas, A. Alexandrou 5 Huang, Wentao 5 Kato, Keiichi 5 Kawahara, Yuichiro 5 Kita, Naoyasu 5 Korpusov, Maksim Olegovich 5 Liu, Jiaqi 5 Martel, Yvan 5 Muñoz, Claudio 5 Nakamura, Makoto 5 Oh, Tadahiro 5 Sánchez-Suárez, Isahi 5 Sato, Takuya 5 Shen, Yaotian 5 Tsutsumi, Yoshio 5 Velo, Giorgio 4 Bao, Weizhu 4 Carles, Rémi 4 Chen, Jianqing 4 Cheng, Yongkuan 4 Goubet, Olivier 4 Hao, Chengchun 4 Ikehata, Ryo 4 Kawamoto, Masaki 4 Kinoshita, Shinya 4 Klein, Christian 4 Linares, Felipe 4 López, José Luis 4 Mendez Navarro, Jesus A. 4 Miyazaki, Hayato 4 Noguera, Norman 4 Ohta, Masahito 4 Peng, Shuangjie 4 Perry, Peter A. 4 Petronilho, Gerson 4 Poppenberg, Markus 4 Sepúlveda, Mauricio A. 4 Shimomura, Akihiro ...and 747 more Authors
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### Cited in 185 Serials

 94 Journal of Differential Equations 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 61 Journal of Mathematical Analysis and Applications 50 Journal of Mathematical Physics 27 Communications on Pure and Applied Analysis 26 NoDEA. Nonlinear Differential Equations and Applications 24 Communications in Mathematical Physics 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Communications in Partial Differential Equations 24 Discrete and Continuous Dynamical Systems 24 Journal of Evolution Equations 22 Journal of Functional Analysis 16 Communications in Contemporary Mathematics 13 Annales de l’Institut Henri Poincaré. Physique Théorique 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Applicable Analysis 11 SIAM Journal on Mathematical Analysis 11 Complex Variables and Elliptic Equations 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 9 Physica D 9 Acta Mathematica Sinica. English Series 9 Annales Henri Poincaré 9 Nonlinear Analysis. Theory, Methods & Applications 8 Archive for Rational Mechanics and Analysis 8 Mathematical Methods in the Applied Sciences 8 Advances in Mathematics 8 Duke Mathematical Journal 8 Osaka Journal of Mathematics 7 Computers & Mathematics with Applications 7 Nonlinearity 7 Applied Mathematics and Computation 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Differential Equations 7 Advances in Mathematical Physics 6 Communications on Pure and Applied Mathematics 6 Inventiones Mathematicae 6 Journal of the Mathematical Society of Japan 6 Mathematische Zeitschrift 6 Asymptotic Analysis 6 Calculus of Variations and Partial Differential Equations 6 Journal of Pseudo-Differential Operators and Applications 6 SN Partial Differential Equations and Applications 5 Mathematische Annalen 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematics Letters 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 The Journal of Fourier Analysis and Applications 5 Abstract and Applied Analysis 5 Journal of Hyperbolic Differential Equations 5 Boundary Value Problems 4 Journal d’Analyse Mathématique 4 Journal of Statistical Physics 4 Proceedings of the Japan Academy. Series A 4 Quarterly of Applied Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Applicandae Mathematicae 4 Computational Mathematics and Mathematical Physics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Nonlinear Science 4 Journal of the European Mathematical Society (JEMS) 4 Nonlinear Analysis. Real World Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 4 Séminaire Laurent Schwartz. EDP et Applications 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Numerische Mathematik 3 Applied Numerical Mathematics 3 Journal of the American Mathematical Society 3 Electronic Journal of Differential Equations (EJDE) 3 Doklady Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mediterranean Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Evolution Equations and Control Theory 3 Advances in Nonlinear Analysis 2 Theoretical and Mathematical Physics 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Functional Analysis and its Applications 2 Hokkaido Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Monatshefte für Mathematik 2 Studies in Applied Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 International Journal of Mathematics 2 Topological Methods in Nonlinear Analysis 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics ...and 85 more Serials
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### Cited in 35 Fields

 985 Partial differential equations (35-XX) 89 Quantum theory (81-XX) 67 Fluid mechanics (76-XX) 59 Dynamical systems and ergodic theory (37-XX) 41 Numerical analysis (65-XX) 33 Operator theory (47-XX) 25 Optics, electromagnetic theory (78-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Functional analysis (46-XX) 16 Ordinary differential equations (34-XX) 14 Integral equations (45-XX) 14 Probability theory and stochastic processes (60-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Real functions (26-XX) 8 Functions of a complex variable (30-XX) 7 Integral transforms, operational calculus (44-XX) 7 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 5 Potential theory (31-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Relativity and gravitational theory (83-XX) 4 Mechanics of particles and systems (70-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-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 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Biology and other natural sciences (92-XX)