On the Cauchy problem of the Camassa-Holm equation

被引：0
|
作者：
Dai H.-H. [1 ]
Kwek K.-H. [2 ]
Gao H.-J. [3 ]
Qu C.-C. [4 ]
机构：
[1] Department of Mathematics, City University of Hong Kong, Kowloon Tong
[2] Department of Mathematics, National University of Singapore, Singapore 119260
[3] Department of Mathematics, Nanjing Normal University
[4] Department of Mathematics, Yunnan University
来源：
Frontiers of Mathematics in China | 2006年 / 1卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Camassa-Holm equation; Cauchy problem; Global existence; Local existence;
D O I：
10.1007/s11464-005-0002-6
中图分类号：
学科分类号：
摘要：
The purpose of this paper is to investigate the Cauchy problem of the Camassa-Holm equation. By using the abstract method proposed and studied by T. Kato and priori estimates, the existence and uniqueness of the global solution to the Cauchy problem of the Camassa-Holm equation in L p frame under certain conditions are obtained. In addition, the continuous dependence of the solution of this equation on the linear dispersive coefficient contained in the equation is obtained. © Higher Education Press and Springer-Verlag 2006.
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页码：144 / 159
页数：15
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