Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System
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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/823126 |
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| _version_ | 1832562711042457600 |
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| author | Xiaohuan Wang |
| author_facet | Xiaohuan Wang |
| author_sort | Xiaohuan Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ed173b32f7d943d6bdf9a0fe089cbdbb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ed173b32f7d943d6bdf9a0fe089cbdbb2025-02-03T01:21:59ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/823126823126Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm SystemXiaohuan Wang0College of Mathematics and Information Science, Henan University, Kaifeng 475001, ChinaThis 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.http://dx.doi.org/10.1155/2014/823126 |
| spellingShingle | Xiaohuan Wang Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System Abstract and Applied Analysis |
| title | Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System |
| title_full | Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System |
| title_fullStr | Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System |
| title_full_unstemmed | Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System |
| title_short | Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System |
| title_sort | nonuniform dependence on initial data of a periodic camassa holm system |
| url | http://dx.doi.org/10.1155/2014/823126 |
| work_keys_str_mv | AT xiaohuanwang nonuniformdependenceoninitialdataofaperiodiccamassaholmsystem |