Global existence and asymptotic behavior of solutions for the Maxwell-Schrödinger equations in three space dimensions

Yoshio Tsutsumi

doi:10.1007/bf02097027

Global existence and asymptotic behavior of solutions for the Maxwell-Schrödinger equations in three space dimensions

Communications in Mathematical Physics ◽

10.1007/bf02097027 ◽

1993 ◽

Vol 151 (3) ◽

pp. 543-576 ◽

Cited By ~ 15

Author(s):

Yoshio Tsutsumi

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Schrödinger Equations ◽

Three Space

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Global existence and asymptotic behavior of the Cauchy problem for fourth-order Schrödinger equations with combined power-type nonlinearities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.03.028 ◽

2012 ◽

Vol 392 (2) ◽

pp. 111-122 ◽

Cited By ~ 2

Author(s):

Cuihua Guo

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Fourth Order ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Power Type ◽

The Cauchy Problem

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Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential

Journal of Mathematical Physics ◽

10.1063/1.4948743 ◽

2016 ◽

Vol 57 (5) ◽

pp. 051501 ◽

Cited By ~ 29

Author(s):

I. P. Naumkin

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Asymptotic behavior of solutions for a class of two-coupled nonlinear fractional Schrödinger equations

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2021.v18.n1.a2 ◽

2021 ◽

Vol 18 (1) ◽

pp. 11-32

Author(s):

Brahim Alouini

Keyword(s):

Asymptotic Behavior ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Asymptotic Behavior of Solutions for the Coupled Klein–Gordon–Schrödinger Equations

Spectral and Scattering Theory and Applications ◽

10.2969/aspm/02310295 ◽

2018 ◽

Cited By ~ 18

Author(s):

Tohru Ozawa ◽

Yoshio Tsutsumi

Keyword(s):

Asymptotic Behavior ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Schrödinger Equations ◽

Klein Gordon

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Almost global existence of small solutions to quadratic nonlinear Schrödinger equations in three space dimensions

Mathematische Zeitschrift ◽

10.1007/bf02572354 ◽

1995 ◽

Vol 219 (1) ◽

pp. 119-140 ◽

Cited By ~ 10

Author(s):

J. Ginibre ◽

N. Hayashi

Keyword(s):

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Three Space

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Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential

Journal of the European Mathematical Society ◽

10.4171/jems/246 ◽

2011 ◽

pp. 119-174 ◽

Cited By ~ 37

Author(s):

Veronica Felli ◽

Alberto Ferrero ◽

Susanna Terracini

Keyword(s):

Asymptotic Behavior ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Electromagnetic Potential ◽

Schrödinger Equations ◽

Isolated Singularity

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Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities

Communications in Partial Differential Equations ◽

10.1080/03605300600910316 ◽

2006 ◽

Vol 31 (9) ◽

pp. 1407-1423 ◽

Cited By ~ 21

Author(s):

Akihiro Shimomura

Keyword(s):

Asymptotic Behavior ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Schrödinger Equations

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Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity

Journal of Differential Equations ◽

10.1016/j.jde.2007.07.003 ◽

2007 ◽

Vol 242 (1) ◽

pp. 192-210 ◽

Cited By ~ 9

Author(s):

Naoyasu Kita ◽

Akihiro Shimomura

Keyword(s):

Asymptotic Behavior ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Schrödinger Equations ◽

Dissipative Nonlinearity

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Global existence and asymptotic behavior of solutions for nonlinear wave equations

Indiana University Mathematics Journal ◽

10.1512/iumj.1995.44.2028 ◽

1995 ◽

Vol 44 (4) ◽

pp. 0-0 ◽

Cited By ~ 18

Author(s):

Kunio Hidano ◽

Kimitoshi Tsutaya

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Asymptotic Behavior Of Solutions

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On the asymptotic behavior of high order moments for a family of Schrödinger equations

Portugaliae Mathematica ◽

10.4171/pm/2062 ◽

2021 ◽

Vol 78 (1) ◽

pp. 101-128

Author(s):

Nikolay Tzvetkov ◽

Nicola Visciglia

Keyword(s):

Asymptotic Behavior ◽

High Order ◽

Schrodinger Equations ◽

Schrödinger Equations

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