Instability of standing waves for inhomogeneous Hartree equations

被引：3

作者：

Guo, Qing ^{[1
]}

Su, Yiming ^{[2
]}

机构：

[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China

[2] Zhejiang Univ Technol, Coll Sci, Hangzhou 310023, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 437卷 / 02期

关键词：

Hartree equations; Instability; Standing-wave solutions; NONLINEAR SCHRODINGER-EQUATIONS; SOLITARY WAVES; STABILITY THEORY; UNIQUENESS; SYMMETRY;

D O I：

10.1016/j.jmaa.2016.01.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the instability of standing-wave solutions e(iota omega t)phi(omega)(x) to the Hartree equation iu(t) + Delta u + gu(vertical bar.vertical bar(-gamma) * (g vertical bar u vertical bar(2))) = 0 for some suitable g(x), where cow is a ground state solution. The instability of standing-wave solutions reveals a balance between omega and gamma. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1159 / 1175

页数：17

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