Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System

Xiaohuan Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

This paper is concerned with some properties of a periodic two-component Camassa-Holm system. By constructing two sequences of solutions of the two-component Camassa-Holm system, we prove that the solution map of the Cauchy problem of the two-component Camassa-Holm system is not uniformly continuous in ( ), .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:823126

DOI: 10.1155/2014/823126

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