THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20190095 ◽

2019 ◽

Vol 9 (3) ◽

pp. 1183-1192 ◽

Author(s):

Chunxiao Guo ◽

◽

Boling Guo ◽

Keyword(s):

Fourth Order ◽

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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Asymptotics for a class of oscillating fourth-order nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.5031825 ◽

2018 ◽

Vol 59 (7) ◽

pp. 071511

Author(s):

T. Saanouni

Keyword(s):

Fourth Order ◽

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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Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions d⩾9

Journal of Differential Equations ◽

10.1016/j.jde.2011.08.009 ◽

2011 ◽

Vol 251 (12) ◽

pp. 3381-3402 ◽

Author(s):

Changxing Miao ◽

Guixiang Xu ◽

Lifeng Zhao

Keyword(s):

Fourth Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2015.09.005 ◽

2016 ◽

Vol 105 (1) ◽

pp. 31-65 ◽

Author(s):

Michael Ruzhansky ◽

Baoxiang Wang ◽

Hua Zhang

Keyword(s):

Fourth Order ◽

Sobolev Spaces ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

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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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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Wellposedness for the fourth order nonlinear Schrödinger equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.06.091 ◽

2006 ◽

Vol 320 (1) ◽

pp. 246-265 ◽

Author(s):

Chengchun Hao ◽

Ling Hsiao ◽

Baoxiang Wang

Keyword(s):

Fourth Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the Cauchy problem of fourth-order nonlinear Schrödinger equations

Nonlinear Analysis ◽

10.1016/j.na.2006.04.020 ◽

2007 ◽

Vol 66 (12) ◽

pp. 2911-2930 ◽

Author(s):

Ai Guo ◽

Shangbin Cui

Keyword(s):

Cauchy Problem ◽

Fourth Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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Riemann‐Hilbert approach for multisoliton solutions of generalized coupled fourth‐order nonlinear Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5964 ◽

2019 ◽

Vol 43 (2) ◽

pp. 865-880 ◽

Author(s):

Tai‐Yang Xu ◽

Shou‐Fu Tian ◽

Wei‐Qi Peng

Keyword(s):

Fourth Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Multisoliton Solutions

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