Criterion for Lyapunov stability of periodic Camassa–Holm equations

被引：0
|
作者：
Feng Cao
Jifeng Chu
Ke Jiang
机构：
[1] Nanjing University of Aeronautics and Astronautics,Department of Mathematics
[2] MIIT,Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA)
[3] Shanghai Normal University,Department of Mathematics
[4] Guizhou University,School of Mathematics and Statistics
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2023年 / 202卷
关键词：
Camassa–Holm equation; Lyapunov stability; Eigenvalues; Lyapunov-type criterion; Primary 34D20; 34L15;
D O I：
暂无
中图分类号：
学科分类号：
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：15
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