Non-uniform dependence and persistence properties for coupled Camassa-Holm equations

被引：4

作者：

Zhou, Shouming ^{[1
]}

机构：

[1] Chongqing Normal Univ, Coll Math Sci, Chongqing 41331, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 10期

关键词：

non-uniform dependence; persistence properties; coupled Camassa-Holm equations; SHALLOW-WATER EQUATION; GLOBAL WEAK SOLUTIONS; WELL-POSEDNESS; WAVE-BREAKING; 2-COMPONENT; EXISTENCE; SCATTERING; STABILITY;

D O I：

10.1002/mma.4258

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the non-uniform dependence and persistence properties for a coupled Camassa-Holm equations. Using the method of approximate solutions in conjunction with well-posedness estimate, it is proved that the solution map of the Cauchy problem for this coupled Camassa-Holm equation is not uniformly continuous in Sobolev spaces H-s with s>3/2. On the other hand, the persistence properties in weighted L-p spaces for the solution of this coupled Camassa-Holm system are considered. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：3718 / 3732

页数：15

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