ON THE SPECTRAL STABILITY OF GROUND STATES OF SEMI-LINEAR SCHRODINGER AND KLEIN-GORDON EQUATIONS WITH FRACTIONAL DISPERSION

被引：7

作者：

Feng, Wen ^{[1
]}

Stanislavova, Milena ^{[1
]}

Stefanov, Atanas ^{[1
]}

机构：

[1] Univ Kansas, Dept Math, 1460 Jayhawk Blvd, Lawrence, KS 66045 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 04期

基金：

美国国家科学基金会;

关键词：

Spectral stability; standing waves; fractional NLS; fractional Klein-Gordon equation; SOLITARY-WAVE SOLUTIONS; MODEL-EQUATIONS; POSITIVITY; UNIQUENESS;

D O I：

10.3934/cpaa.2018067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider standing wave solutions of various dispersive models with non-standard form of the dispersion terms. Using index count calculations, together with the information from a variational construction, we develop sharp conditions for spectral stability of these waves.

引用

页码：1371 / 1385

页数：15

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