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

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  • Xiaohuan Wang

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 Hs (𝕊), s > 5/2.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:823126
DOI: 10.1155/2014/823126
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