The nonlinear Schrödinger equations with harmonic potential in modulation spaces

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019259 ◽

2019 ◽

Vol 39 (10) ◽

pp. 5923-5944 ◽

Author(s):

Divyang G. Bhimani ◽

Keyword(s):

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Modulation Spaces ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Asymptotic behavior for nonlinear Schrödinger equations with critical time-decaying harmonic potential

Journal of Differential Equations ◽

10.1016/j.jde.2021.09.028 ◽

2021 ◽

Vol 303 ◽

pp. 253-267

Author(s):

Masaki Kawamoto

Keyword(s):

Asymptotic Behavior ◽

Critical Time ◽

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces

Communications in Partial Differential Equations ◽

10.1080/03605302.2015.1123274 ◽

2015 ◽

Vol 41 (4) ◽

pp. 732-747 ◽

Author(s):

Hideo Takaoka

Keyword(s):

Nonlinear Schrödinger Equations ◽

Modulation Spaces ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Gevrey-modulation spaces and smoothing effect for the system of nonlinear Schrödinger equations

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-019-00323-0 ◽

2019 ◽

Vol 11 (2) ◽

pp. 613-629 ◽

Author(s):

Gaku Hoshino

Keyword(s):

Nonlinear Schrödinger Equations ◽

Modulation Spaces ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the exact solutions for a type of nonlinear Schrödinger equations with a harmonic potential

Journal of Physics Conference Series ◽

10.1088/1742-6596/2031/1/012048 ◽

2021 ◽

Vol 2031 (1) ◽

pp. 012048

Author(s):

Yamei Qin ◽

Hui Wang ◽

Tao Su ◽

Wang Dai ◽

Tao Zhang

Keyword(s):

Exact Solutions ◽

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Nonlinear Schrödinger equations with single power nonlinearity and harmonic potential

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aaabd9 ◽

2018 ◽

Vol 51 (11) ◽

pp. 115201

Author(s):

R Cipolatti ◽

Y de Macedo Lira ◽

C Trallero-Giner

Keyword(s):

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Power Nonlinearity ◽

Nonlinear Schrodinger Equations ◽

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Remarks on Nonlinear Schrödinger Equations with Harmonic Potential

Annales Henri Poincaré ◽

10.1007/s00023-002-8635-4 ◽

2002 ◽

Vol 3 (4) ◽

pp. 757-772 ◽

Author(s):

R. Carles

Keyword(s):

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141002416936 ◽

2003 ◽

Vol 35 (4) ◽

pp. 823-843 ◽

Author(s):

Rémi Carles

Keyword(s):

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential

Journal of Mathematical Physics ◽

10.1063/1.3371246 ◽

2010 ◽

Vol 51 (4) ◽

pp. 043505 ◽

Author(s):

Daomin Cao ◽

Pigong Han

Keyword(s):

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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The Cauchy problem for nonlinear Schrödinger equations in modulation spaces

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.01.005 ◽

2015 ◽

Vol 24 ◽

pp. 83-97 ◽

Author(s):

Shaolei Ru ◽

Jiecheng Chen

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Modulation Spaces ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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Remarks on nonlinear Schrodinger equations with the harmonic potential

Publicationes Mathematicae Debrecen ◽

10.5486/pmd.2019.8495 ◽

2019 ◽

Vol 95 (1-2) ◽

pp. 205-217

Author(s):

Hongzi Cong ◽

Qidi Zhang

Keyword(s):

Nonlinear Schrödinger Equations ◽

Harmonic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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