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 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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Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511030122 ◽

2011 ◽

Vol 51 (3) ◽

pp. 355-376 ◽

Cited By ~ 8

Author(s):

I. A. Zlotnik

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Infinite Strip ◽

Transparent Boundary Conditions ◽

Nonstationary Schrödinger Equation

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Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed N-soliton potential

Journal of Mathematical Physics ◽

10.1063/1.2393144 ◽

2006 ◽

Vol 47 (12) ◽

pp. 123510 ◽

Cited By ~ 10

Author(s):

M. Boiti ◽

F. Pempinelli ◽

A. K. Pogrebkov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Scattering Transform ◽

Nonstationary Schrödinger Equation

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Optimal control problem for nonstationary Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20395 ◽

2009 ◽

Vol 25 (5) ◽

pp. 1195-1203 ◽

Cited By ~ 3

Author(s):

Bunyamin Yildiz ◽

Oguz Kilicoglu ◽

G. Yagubov

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation ◽

Nonstationary Schrödinger Equation

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Exact solutions of the nonstationary Schrödinger equation

Theoretical and Mathematical Physics ◽

10.1007/bf02557214 ◽

1999 ◽

Vol 121 (3) ◽

pp. 1700-1700

Author(s):

E. P. Velicheva ◽

A. A. Suz'ko

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Schrodinger Equation ◽

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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On time evolutions associated with the nonstationary Schrödinger equation

L. D. Faddeev’s Seminar on Mathematical Physics - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/201/13 ◽

2000 ◽

pp. 239-255 ◽

Cited By ~ 2

Author(s):

A. K. Pogrebkov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Nonstationary Schrödinger Equation

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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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