Low-regularity solutions of the periodic general Degasperis-Procesi equation

被引：2

作者：

Tian, Lixin ^{[1
]}

Chen, Yuexia ^{[1
]}

Liu, Yue ^{[2
]}

Gao, Ying ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Low-regularity solutions; Korteweg-de Vries equation; Camassa-Holm equation; Degasperis-Procesi equation; b-family of equations; General Degasperis-Procesi equation; KORTEWEG-DEVRIES EQUATION; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; INITIAL-VALUE PROBLEM; CAMASSA-HOLM; GLOBAL EXISTENCE; SHOCK-WAVES; WELL-POSEDNESS; CAUCHY-PROBLEM; KDV EQUATION;

D O I：

10.1016/j.na.2011.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies low-regularity solutions of the periodic general Degasperis-Procesi equation with an initial value. The existence and the uniqueness of solutions are proved. The results are illustrated by considering the periodic peakons of the periodic general Degasperis-Procesi equation. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2802 / 2812

页数：11

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