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

Gaku Hoshino

doi:10.1007/s10884-018-9709-4

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 ◽

Cited By ~ 3

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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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 ◽

Cited By ~ 2

Author(s):

Gaku Hoshino

Keyword(s):

Global Solutions ◽

Large Data ◽

Space Time ◽

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 ◽

Cited By ~ 2

Author(s):

Gaku Hoshino

Keyword(s):

Space Time ◽

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) ◽

Cited By ~ 2

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 ◽

Cited By ~ 13

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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Analytic smoothing effect for a system of nonlinear Schrödinger equations

Differential Equations & Applications ◽

10.7153/dea-05-25 ◽

2013 ◽

pp. 395-408 ◽

Cited By ~ 4

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 ◽

Cited By ~ 1

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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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 ◽

General Mass

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Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations

Analysis & PDE ◽

10.2140/apde.2018.11.1241 ◽

2018 ◽

Vol 11 (5) ◽

pp. 1241-1284

Author(s):

Pierre-Yves Bienaimé ◽

Abdesslam Boulkhemair

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Local well-posedness and smoothing effects of strongsolutions for nonlinear Schrödinger equations with potentials and magnetic fields

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1285766208 ◽

2005 ◽

Vol 34 (1) ◽

pp. 37-63 ◽

Cited By ~ 4

Author(s):

Yoshihisa NAKAMURA ◽

Akihiro SHIMOMURA

Keyword(s):

Magnetic Fields ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Smoothing Effects ◽

Nonlinear Schrodinger Equations

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The well-posedness of nonlinear Schrödinger equations in Triebel-type spaces

Pacific Journal of Mathematics ◽

10.2140/pjm.2015.274.325 ◽

2015 ◽

Vol 274 (2) ◽

pp. 325-354

Author(s):

Shaolei Ru ◽

Jiecheng Chen

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Type Spaces

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