Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11464-005-0002-6
Title: On the Cauchy problem of the Camassa-Holm equation
Authors: Dai, H.-H.
Kwek, K.-H. 
Gao, H.-J.
Qu, C.-C.
Keywords: Camassa-Holm equation
Cauchy problem
Global existence
Local existence
Issue Date: Jan-2006
Citation: Dai, H.-H.,Kwek, K.-H.,Gao, H.-J.,Qu, C.-C. (2006-01). On the Cauchy problem of the Camassa-Holm equation. Frontiers of Mathematics in China 1 (1) : 144-159. ScholarBank@NUS Repository. https://doi.org/10.1007/s11464-005-0002-6
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. © Higher Education Press and Springer-Verlag 2006.
Source Title: Frontiers of Mathematics in China
URI: http://scholarbank.nus.edu.sg/handle/10635/115841
ISSN: 16733452
DOI: 10.1007/s11464-005-0002-6
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