Space-Time Analytic Smoothing Effect for Global Solutions to a System of Nonlinear Schrödinger Equations with Large Data

Annales Henri Poincaré ◽

10.1007/s00023-018-0677-3 ◽

2018 ◽

Vol 19 (7) ◽

pp. 2101-2114 ◽

Author(s):

Gaku Hoshino

Keyword(s):

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations

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Space-time analytic smoothing effect for a system of nonlinear Schrödinger equations with non pseudo-conformally invariant interactions

Communications in Partial Differential Equations ◽

10.1080/03605302.2017.1295063 ◽

2017 ◽

Vol 42 (5) ◽

pp. 802-819 ◽

Author(s):

Gaku Hoshino

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Conformally Invariant ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations

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Analytic smoothing effect for global solutions to a quadratic system of nonlinear Schrödinger equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-017-0486-2 ◽

2017 ◽

Vol 24 (6) ◽

Author(s):

Gaku Hoshino

Keyword(s):

Global Solutions ◽

Quadratic System ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations

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Analytic smoothing effect for global solutions to nonlinear Schrödinger equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.09.033 ◽

2010 ◽

Vol 364 (2) ◽

pp. 492-497 ◽

Author(s):

T. Ozawa ◽

K. Yamauchi

Keyword(s):

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations

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Space-time Gevrey smoothing effect for the dissipative nonlinear Schrödinger equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-020-00636-w ◽

2020 ◽

Vol 27 (3) ◽

Author(s):

Gaku Hoshino

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Analytic smoothing effect for a system of nonlinear Schrödinger equations

Differential Equations & Applications ◽

10.7153/dea-05-25 ◽

2013 ◽

pp. 395-408 ◽

Author(s):

Gaku Hoshino ◽

Tohru Ozawa

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations

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Analytic Smoothing Effect for the Nonlinear Schrödinger Equations Without Square Integrability

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-017-9562-6 ◽

2017 ◽

Vol 24 (6) ◽

pp. 1661-1680 ◽

Author(s):

Gaku Hoshino ◽

Ryosuke Hyakuna

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations ◽

Square Integrability

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Global Well-Posedness and Analytic Smoothing Effect for the Dissipative Nonlinear Schrödinger Equations

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-018-9709-4 ◽

2018 ◽

Vol 31 (4) ◽

pp. 2339-2351 ◽

Author(s):

Gaku Hoshino

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations

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Analytic smoothing effect for system of nonlinear Schrödinger equations with general mass resonance

Hiroshima Mathematical Journal ◽

10.32917/hmj/1583550016 ◽

2020 ◽

Vol 50 (1) ◽

pp. 73-84

Author(s):

Takayoshi Ogawa ◽

Takuya Sato

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Analytic Smoothing Effect ◽

Nonlinear Schrodinger Equations ◽

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Large Global Solutions for Nonlinear Schrödinger Equations II, Mass-Supercritical, Energy-Subcritical Cases

Communications in Mathematical Physics ◽

10.1007/s00220-021-03971-w ◽

2021 ◽

Author(s):

Marius Beceanu ◽

Qingquan Deng ◽

Avy Soffer ◽

Yifei Wu

Keyword(s):

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Global Solutions of Nonlinear Schrödinger Equations

10.1090/coll/046 ◽

1999 ◽

Author(s):

J. Bourgain

Keyword(s):

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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