GLOBAL DYNAMICS OF SOLUTIONS WITH GROUP INVARIANCE FOR THE NONLINEAR SCHRODINGER EQUATION

被引：10

作者：

Inui, Takahisa ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 6068502, Japan

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 02期

关键词：

Global dynamics; orthogonal matrix; nonlinear Schrodinger equation; group invariance; KLEIN-GORDON EQUATION; SCALAR FIELD-EQUATIONS; BLOW-UP; THRESHOLD SOLUTIONS; WELL-POSEDNESS; RADIAL DATA; SCATTERING-THEORY; NLS EQUATION; LOW-ENERGY; DIMENSIONS;

D O I：

10.3934/cpaa.2017028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the focusing mass-supercritical and energy-subcritical nonlinear Schrodinger equation (NLS). We are interested in the global behavior of the solutions to (NLS) with group invariance. By the group invariance, we can determine the global behavior of the solutions above the ground state standing waves.

引用

页码：557 / 590

页数：34

共 50 条

[1] The nonexistence of global solutions for a time fractional nonlinear Schrodinger equation without gauge invariance
Zhang, Quanguo
Sun, Hong-Rui
Li, Yaning
[J]. APPLIED MATHEMATICS LETTERS, 2017, 64 : 119 - 124
[2] Global existence of solutions for a subcritical nonlinear Schrodinger equation
Hayashi, Nakao
Naumkin, Pavel I.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 108 : 189 - 213
[3] ON DYNAMICS OF SOLUTIONS OF THE GENERALIZED NONLINEAR SCHRODINGER-EQUATION
BASS, FG
KONOTOP, VV
VEKSLERCHIK, VE
[J]. ELECTROMAGNETICS, 1991, 11 (3-4) : 407 - 434
[4] Finite time blowup of solutions to the nonlinear Schrodinger equation without gauge invariance
Fujiwara, Kazumasa
Ozawa, Tohru
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (08)
[5] Lifespan of strong solutions to the periodic nonlinear Schrodinger equation without gauge invariance
Fujiwara, Kazumasa
Ozawa, Tohru
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (03) : 1023 - 1030
[6] GLOBAL SMOOTH SOLUTIONS FOR THE NONLINEAR SCHRODINGER EQUATION WITH MAGNETIC EFFECT
Huang, Daiwen
Zhang, Jingjun
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2016, 9 (06): : 1753 - 1773
[7] On the Global Behavior of Solutions of a Coupled System of Nonlinear Schrodinger Equation
Destyl, Edes
Nuiro, Sylvere Paul
Poullet, Pascal
[J]. STUDIES IN APPLIED MATHEMATICS, 2017, 138 (02) : 227 - 244
[8] Global existence of small solutions to a relativistic nonlinear Schrodinger equation
deBouard, A
Hayashi, N
Saut, JC
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 189 (01) : 73 - 105
[9] Solutions of a nonlinear Schrodinger equation
deFigueiredo, DG
Ding, YH
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2002, 8 (03) : 563 - 584
[10] Global existence of small solutions to the generalized derivative nonlinear Schrodinger equation
Hayashi, N
Miao, CX
Naumkin, PI
[J]. ASYMPTOTIC ANALYSIS, 1999, 21 (02) : 133 - 147

← 1 2 3 4 5 →