Global solutions for the generalized Camassa-Holm equation

被引：5

作者：

Chen, Lina ^{[1
]}

Guan, Chunxia ^{[1
]}

机构：

[1] Guangdong Univ Technol, Dept Math, Guangzhou 510520, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2021年 / 58卷

关键词：

A generalized Camassa-Holm equation; Global strong solutions; Global weak solutions; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; WELL-POSEDNESS; WEAK SOLUTIONS; INTEGRABLE EQUATION; CAUCHY-PROBLEM; CONSERVATIVE SOLUTIONS; EXISTENCE; BREAKING;

D O I：

10.1016/j.nonrwa.2020.103227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem of the generalized Camassa-Holm equation. Firstly, we prove the existence of the global strong solutions provide the initial data satisfying a certain sign condition. Then, we obtain the existence and the uniqueness of the global weak solutions under the same sign condition of the initial data. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：10

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