Global weak solutions and blow-up structure for the Degasperis-Procesi equation

被引：226

作者：

Escher, Joachim

Liu, Yue

Yin, Zhaoyang ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Appl Math, D-30167 Hannover, Germany

[2] Univ Texas, Dept Math, Arlington, TX 76019 USA

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 241卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Degsperis-Procesi equation; global weak solutions; blow-up rate; blow-up set;

D O I：

10.1016/j.jfa.2006.03.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study several qualitative properties of the Degasperis-Procesi equation. We first established the precise blow-up rate and then determine the blow-up set of blow-up strong solutions to this equation for a large class of initial data. We finally prove the existence and uniqueness of global weak solutions to the equation provided the initial data satisfies appropriate conditions. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：457 / 485

页数：29

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