Criterion for Lyapunov stability of periodic Camassa-Holm equations

被引：4

作者：

Cao, Feng ^{[1
,2
]}

Chu, Jifeng ^{[3
]}

Jiang, Ke ^{[4
]}

机构：

[1] Nanjing Univ Aeronut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

[2] NUAA, MIIT, Key Lab Math Modelling & High Performance Comp Ai, Nanjing 211106, Peoples R China

[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[4] Guizhou Univ, Sch Math & Stat, Guiyang 550025, Peoples R China

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Camassa-Holm equation; Lyapunov stability; Eigenvalues; Lyapunov-type criterion; INVERSE SPECTRAL PROBLEM; SHALLOW-WATER EQUATION; CONTINUOUS DEPENDENCE;

D O I：

10.1007/s10231-022-01292-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Lyapunov stability of the periodic Camassa-Holm equation in terms of the periodic/anti-periodic eigenvalues and the associated spectral intervals. We consider the case with definite potentials as well as the case with indefinite potentials. In particular, we prove a Lyapunov-type stability criterion.

引用

页码：1557 / 1572

页数：16

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