GLOBAL SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH ARBITRARILY GROWING NONLINEARITY AND CONTRACTED INITIAL DATA

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.56.221 ◽

2002 ◽

Vol 56 (1) ◽

pp. 221-224

Author(s):

Kenji NAKANISHI ◽

Tohru OZAWA

Keyword(s):

Initial Data ◽

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

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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The derivation of the conservation law for defocusing nonlinear Schrödinger equations with non-vanishing initial data at infinity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.03.055 ◽

2014 ◽

Vol 417 (2) ◽

pp. 580-600

Author(s):

Hayato Miyazaki

Keyword(s):

Initial Data ◽

Conservation Law ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Global solutions and stable ground states of nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(91)90087-p ◽

1991 ◽

Vol 48 (2-3) ◽

pp. 259-272 ◽

Author(s):

Joachim Stubbe

Keyword(s):

Ground States ◽

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the global well-posedness for the nonlinear Schrödinger equations with large initial data of infinite norm

Nonlinear Analysis ◽

10.1016/j.na.2010.10.003 ◽

2011 ◽

Vol 74 (4) ◽

pp. 1304-1319 ◽

Author(s):

Ryosuke Hyakuna ◽

Takamasa Tanaka ◽

Masayoshi Tsutsumi

Keyword(s):

Initial Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Large Initial Data ◽

Nonlinear Schrödinger ◽

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 ◽

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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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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Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0515028 ◽

1984 ◽

Vol 15 (2) ◽

pp. 357-366 ◽

Author(s):

Masayoshi Tsutsumi

Keyword(s):

Cauchy Problem ◽

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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Global solutions and self-similar solutions for coupled nonlinear Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4329 ◽

2017 ◽

Vol 40 (12) ◽

pp. 4613-4624 ◽

Author(s):

Yaojun Ye

Keyword(s):

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Self Similar ◽

Coupled Nonlinear Schrodinger Equations ◽

Similar Solutions

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The Interctitical Defocusing Nonlinear Schrodinger Equations with Radial Initial Data in Dimensions Four and Higher

Analysis in Theory and Applications ◽

10.4208/ata.oa-0006 ◽

2019 ◽

Vol 35 (2) ◽

pp. 205-234

Author(s):

Chuanwei Gao

Keyword(s):

Initial Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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