Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm SystemReport as inadecuate




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Abstract and Applied Analysis - Volume 2014 2014, Article ID 823126, 10 pages -

Research ArticleCollege of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received 22 November 2013; Accepted 21 January 2014; Published 4 March 2014

Academic Editor: Ziemowit Popowicz

Copyright © 2014 Xiaohuan Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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 , .





Author: Xiaohuan Wang

Source: https://www.hindawi.com/



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