Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces

被引：69

作者：

Li, Jinlu ^{[1
]}

Yin, Zhaoyang ^{[1
,2
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 11期

关键词：

Camassa-Holm type equations; Littlewood-Paley theory; The continuity of the solution map; Nonhomogeneous Besov spaces; BLOW-UP PHENOMENA; GLOBAL WEAK SOLUTIONS; SHALLOW-WATER EQUATION; CAUCHY-PROBLEM; INTEGRABLE EQUATION; WAVE SOLUTIONS; SHOCK-WAVES; EXISTENCE; BREAKING; TRAJECTORIES;

D O I：

10.1016/j.jde.2016.08.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the solution map of the Cauchy problem of Camassa-Holm type equations depends continuously on the initial data in nonhomogeneous Besov spaces in the sense of Hadamard by using the Littlewood-Paley theory and the method introduced by Kato [37] and Danchin [21]. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：6125 / 6143

页数：19

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