On the Cauchy problem for a two-component b-family system

被引：12

作者：

Lv, Guangying ^{[1
,2
]}

Wang, Xiaohuan ^{[2
]}

机构：

[1] Henan Univ, Inst Contemporary Math, Kaifeng 475001, Peoples R China

[2] Henan Univ, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 111卷

关键词：

Non-uniform dependence; Camassa-Holm system; Energy estimates; Initial value problem; CAMASSA-HOLM; NONUNIFORM DEPENDENCE; PERSISTENCE PROPERTIES; PROPAGATION SPEED; GLOBAL EXISTENCE; WELL-POSEDNESS; INITIAL DATA; BLOW-UP; EQUATION; TRAJECTORIES;

D O I：

10.1016/j.na.2014.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problem for a two-component b-family system. We prove that the solution map of the Cauchy problem of the b-family system is not uniformly continuous in H-s (R) x Hs-1 (R), s > 5/2. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：1 / 14

页数：14

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