Well-posedness and blow-up phenomena for the generalized Degasperis-Procesi equation

被引：4

作者：

Wu, Xinglong ^{[1
]}

Yin, Zhaoyang ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 01期

关键词：

The generalized Degasperis-Procesi equation; Well-posedness; Blow-up scenario; Blow-up phenomena; Equilibrium point; SHALLOW-WATER EQUATION; INTEGRABLE EQUATION; CAMASSA-HOLM; GLOBAL EXISTENCE; CAUCHY-PROBLEM; BREAKING WAVES; GEODESIC-FLOW; SCATTERING; STABILITY;

D O I：

10.1016/j.na.2010.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper,we mainly study the Cauchy problem of the generalized Degasperis-Procesi equation.We establish the local well-posedness and give the precise blow-up scenario for the equation.Then we show that the equation has smooth solutions which blow up infinite time. (C) 2010 Elsevier Ltd. All rights reserved

引用

页码：136 / 146

页数：11

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