Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa-Holm Equation

被引：0
|
作者：
Shi, Cuiyun [1 ]
Bin, Maojun [2 ]
Zhang, Zaiyun [2 ]
机构：
[1] Guilin Univ Technol Nanning, Sch Basic Sci, Nanning 530001, Peoples R China
[2] Yulin Normal Univ, Ctr Appl Math Guangxi, Yulin 537000, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 07期
关键词：
G3CH equation; analyticity; abstract Cauchy-Kowalevski theorem; GLOBAL CONSERVATIVE SOLUTIONS; KORTEWEG-DEVRIES EQUATION; INITIAL-VALUE PROBLEM; BLOW-UP PHENOMENA; WEAK SOLUTIONS; WELL-POSEDNESS; DISSIPATIVE SOLUTIONS; WAVE-BREAKING; EXISTENCE; UNIQUENESS;
D O I：
10.3390/math12071085
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the Cauchy problem for a three-component generalization of Camassa-Holm equation (G3CH equation henceforth) with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time.
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页数：12
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