Well-posedness and blow-up phenomena for the periodic generalized Camassa-Holm equation

被引：5

作者：

Yin, ZY ^{[1
]}

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2004年 / 3卷 / 03期

关键词：

the periodic generalized Camassa-Holm equation; local well-posedness; blow-up scenario;

D O I：

10.3934/cpaa.2004.3.501

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the local well-posedness for the periodic generalized Camassa-Holm equation. We also give the precise blow-up scenario and prove that the equation has smooth solutions that blow up in finite time.

引用

页码：501 / 508

页数：8

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