On well-posedness of two-component Camassa-Holm system in the critical Besov space

被引：6
作者：
Chen, Defu [1 ]
Li, Yongsheng [1 ]
Yan, Wei [2 ]
机构：
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 120卷
关键词：
Two-component Camassa-Holm system; Cauchy problem; Critical Besov space; Well-posedness; SHALLOW-WATER EQUATION; GLOBAL WEAK SOLUTIONS; CAUCHY-PROBLEM; WAVE-BREAKING; EXISTENCE;
D O I：
10.1016/j.na.2015.03.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Cauchy problem for a two-component Camassa-Holm system in the critical Besov space B-2,1(1/2). We obtain the solution local existence and prove the solution mapping is Holder continuous with respect to the initial value. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：285 / 298
页数：14
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