Stability of standing waves for the L 2-critical Hartree equations with harmonic potential

被引：8

作者：

Huang, Juan ^{[1
,2
]}

Zhang, Jian ^{[1
,2
]}

Li, Xiaoguang ^{[1
,3
]}

机构：

[1] Sichuan Normal Univ, Visual Comp & Virtual Real Key Lab Sichuan Prov, Chengdu 610066, Peoples R China

[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China

[3] Sichuan Normal Univ, Coll Econ & Management Sci, Chengdu 610066, Peoples R China

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 10期

基金：

美国国家科学基金会;

关键词：

Hartree equations; harmonic potential; standing waves; stability; NONLINEAR SCHRODINGER; STRONG INSTABILITY;

D O I：

10.1080/00036811.2012.716512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the Hartree equations with harmonic potential. By an elaborate mathematical analysis, we obtain a sharp stability threshold of this equation. Then with this threshold, we prove that the standing wave of this equation exists and is stable.

引用

页码：2076 / 2083

页数：8

共 17 条

[1]

BERESTYCKI H, 1981, CR ACAD SCI I-MATH, V293, P489

[2]

Bona J, 2002, DISCRETE CONT DYN-B, V2, P313

[3] ORBITAL STABILITY OF STANDING WAVES FOR SOME NON-LINEAR SCHRODING EQUATIONS [J].