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.
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页码：1557 / 1572
页数：16
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