Well-posedness and global existence for a generalized Degasperis-Procesi equation

被引：24
|
作者：
Li, Jinlu [1 ]
Yin, Zhaoyang [1 ,2 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 28卷
关键词：
A generalized Degasperis-Procesi equation; Littlewood-Paley theory; Local well-posedness; Blow-up criterion; Global existence; SHALLOW-WATER EQUATION; CAUCHY-PROBLEM; WEAK SOLUTIONS; INTEGRABLE EQUATION; WAVE SOLUTIONS; TRAJECTORIES; BREAKING;
D O I：
10.1016/j.nonrwa.2015.09.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first establish the local existence and uniqueness of strong solutions for the Cauchy problem of a generalized Degasperis-Procesi equation in nonhomogeneous Besov spaces by using the Littlewood-Paley theory. Then, we prove the solution depends continuously on the initial data. Finally, we derive a blow-up criterion and present a global existence result for the equation. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：72 / 90
页数：19
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