The regularity of local solutions for a generalized Camassa-Holm type equation

Authors
Lai, Shao Yong Zhang, Jian
Citation
Lai, Shao Yong et Zhang, Jian, The regularity of local solutions for a generalized Camassa-Holm type equation, Acta mathematica Sinica. English series (Print) , 25(12), 2009, pp. 2065-2076
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
12
Year of publication
2009
Pages
2065 - 2076
Database
ACNP
SICI code
Abstract
The regularity of the Cauchy problem for a generalized Camassa-Holm type equation is investigated. The pseudoparabolic regularization approach is employed to obtain some prior estimates under certain assumptions on the initial value of the equation. The local existence of its solution in Sobolev space H s(.) with 1 < s . 3/2 is derived.