The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation

Nan Li, Shaoyong Lai, Shuang Li and Meng Wu

Abstract and Applied Analysis, 2012, vol. 2012, 1-26

Abstract:

A nonlinear generalization of the Camassa-Holm equation is investigated. By making use of the pseudoparabolic regularization technique, its local well posedness in Sobolev space with is established via a limiting procedure. Provided that the initial value satisfies the sign condition and , it is shown that there exists a unique global solution for the equation in space .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:532369

DOI: 10.1155/2012/532369

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