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2014 Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System
Xiaohuan Wang
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/823126

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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Xiaohuan Wang. "Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/823126

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023146
MathSciNet: MR3178893
Digital Object Identifier: 10.1155/2014/823126

Rights: Copyright © 2014 Hindawi

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