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

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