Stability of Standing Waves for the Nonlinear Fractional Schrodinger Equation

被引：45

作者：

Zhang, Jian ^{[1
,3
]}

Zhu, Shihui ^{[1
,2
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[3] China West Normal Univ, Coll Math & Informat, Nanchong, Sichuan 637002, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2017年 / 29卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Nonlinear fractional Schrodinger equation; Profile decomposition; Standing wave; Orbital stability; BOSON STARS; DYNAMICS; BLOWUP;

D O I：

10.1007/s10884-015-9477-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the standing waves of the nonlinear fractional Schrodinger equation. We obtain that when 0 < gamma < 2s, the standing waves are orbitally stable; when gamma = 2s, the ground state solitary waves are strongly unstable to blow-up.

引用

页码：1017 / 1030

页数：14

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