Nonuniform dependence on initial data of a periodic Camassa-Holm system
type: Item
instance of: scholarly article
title: Nonuniform dependence on initial data of a periodic Camassa-Holm system
zbMATH Open document ID: 1474.35575
DOI: 10.1155/2014/823126
author: Xiaohuan Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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 \(H^s\) (\(\mathbb{S}\)), \(s > 5 / 2\).
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35M31
zbMATH DE Number: 7023146
Wikidata QID: Q59041812
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/823126
OpenAlex ID: W2016272706
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description: scientific article; zbMATH DE number 7023146