|
|||||
|
|
On the Cauchy Problem of the Camassa-Holm Equation |
|
| Authors: | Hui-hui Dai Keng-Huat Kwek Hong-jun Gao Chao-chun Qu |
| Institution: | (1) Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong, China;(2) Department of Mathematics, The National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260, Singapore;(3) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, China;(4) Department of Mathematics, Yunnan University, Kunming, 650091, China |
| Abstract: | 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. |
| Keywords: | local existence global existence Cauchy problem Camassa-Holm equation |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ | |