Asymptotic behavior of the nonlinear damped Schrödinger equation

Takahisa Inui

doi:10.1090/proc/14276

Asymptotic behavior of the nonlinear damped Schrödinger equation

Proceedings of the American Mathematical Society ◽

10.1090/proc/14276 ◽

2018 ◽

Vol 147 (2) ◽

pp. 763-773 ◽

Cited By ~ 2

Author(s):

Takahisa Inui

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Schrodinger Equation

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The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space

Journal of Mathematical Physics ◽

10.1063/1.5142272 ◽

2020 ◽

Vol 61 (3) ◽

pp. 031501

Author(s):

Przemysław Górka ◽

Humberto Prado ◽

Daniel J. Pons

Keyword(s):

Hilbert Space ◽

Asymptotic Behavior ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Fractional Schrödinger Equation ◽

Fractional Schrodinger Equation

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On linear similarity of certain nonselfadjoint operators to selfadjoint operators and on the asymptotic behavior for 𝑡→∞ of the solution of a nonstationary Schrödinger equation

Thirteen Papers on Functional Analysis and Differential Equations - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/079/06 ◽

1968 ◽

pp. 97-150 ◽

Cited By ~ 1

Author(s):

I. V. Stankevič

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Selfadjoint Operators ◽

Nonstationary Schrödinger Equation

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Asymptotic behavior of the nonlinear Schrödinger equation on exterior domain

Mathematical Research Letters ◽

10.4310/mrl.2020.v27.n6.a11 ◽

2020 ◽

Vol 27 (6) ◽

pp. 1825-1866

Author(s):

Zhen-Hu Ning

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Exterior Domain ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019009 ◽

2019 ◽

Vol 39 (1) ◽

pp. 219-239 ◽

Cited By ~ 3

Author(s):

Jean-Claude Saut ◽

◽

Jun-Ichi Segata ◽

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Anisotropic Dispersion

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Long-time asymptotic behavior of a mixed Schrödinger equation with weighted Sobolev initial data

Journal of Mathematical Physics ◽

10.1063/5.0045970 ◽

2021 ◽

Vol 62 (9) ◽

pp. 093507

Author(s):

Qiaoyuan Cheng ◽

Yiling Yang ◽

Engui Fan

Keyword(s):

Asymptotic Behavior ◽

Initial Data ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Long Time ◽

Time Asymptotic Behavior

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Long-time asymptotic behavior for a fourth-order dispersive nonlinear Schrödinger equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125560 ◽

2021 ◽

pp. 125560

Author(s):

Yu-Feng Wang ◽

Nan Liu ◽

Bo-Ling Guo

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Long Time ◽

Time Asymptotic Behavior

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Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.1997.3.383 ◽

1997 ◽

Vol 3 (3) ◽

pp. 383-400 ◽

Cited By ~ 6

Author(s):

Nakao Hayashi ◽

◽

Pavel I. Naumkin ◽

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Asymptotic behavior of Wilson loops from Schrödinger equation on the gauge group

Physics Letters B ◽

10.1016/j.physletb.2006.02.001 ◽

2006 ◽

Vol 634 (2-3) ◽

pp. 262-266 ◽

Cited By ~ 3

Author(s):

P.V. Buividovich ◽

V.I. Kuvshinov

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Gauge Group ◽

Schrodinger Equation ◽

Wilson Loops

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Asymptotic Behavior of Blow-Up Solutions of the Nonlinear Schrodinger Equation with Critical Power Nonlinearity

Proceedings of the Second International Colloquium on Numerical Analysis ◽

10.1515/9783112318805-015 ◽

1994 ◽

pp. 133-142

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Power ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity

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Asymptotic behavior of the self-defocusing nonlinear Schrödinger equation for piecewise constant initial conditions

Journal of the Optical Society of America B ◽

10.1364/josab.12.000698 ◽

1995 ◽

Vol 12 (4) ◽

pp. 698 ◽

Cited By ~ 4

Author(s):

Paul B. Lundquist ◽

David R. Andersen ◽

Grover A. Swartzlander, Jr.

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Initial Conditions ◽

Nonlinear Schrodinger Equation ◽

The Self ◽

Piecewise Constant ◽

Nonlinear Schrödinger

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