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- Title
Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System.
- Authors
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 (핊), s > 5/2.
- Subjects
CAUCHY problem; PARTIAL differential equations; INTEGRABLE functions; BOUNDARY value problems; KORTEWEG-de Vries equation; BANACH spaces; TOPOLOGY
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/823126