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

页码：47 / 56

页数：10

共 25 条

[21] CONTINUITY PROPERTIES OF THE DATA-TO-SOLUTION MAP FOR THE PERIODIC b-FAMILY EQUATION
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[25] The local well-posedness in Besov spaces and non-uniform dependence on initial data for the interacting system of Camassa–Holm and Degasperis–Procesi equations
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