On the Cauchy problem for the periodic b-family of equations and of the non-uniform continuity of Degasperis-Procesi equation

被引：39
|
作者：
Christov, Ognyan [2 ]
Hakkaev, Sevdzhan [1 ]
机构：
[1] Univ Shumen, Fac Math & Informat, Shumen 9712, Bulgaria
[2] Univ Sofia, Fac Math & Informat, Sofia 1164, Bulgaria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 01期
关键词：
Blow-up; Uniform continuity; Camassa-Holm equation; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; CAMASSA-HOLM; GLOBAL EXISTENCE; BREAKING WAVES; WELL-POSEDNESS; ILL-POSEDNESS;
D O I：
10.1016/j.jmaa.2009.06.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of the existence of the global solutions and formation of singularities for a b-family of equations which includes the Camassa-Holm and Degasperis-Procesi equation. We also consider the problem of the uniformly continuity of Degasperis-Procesi equation. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：47 / 56
页数：10
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