The Global Weak Solution for a Generalized Camassa-Holm Equation
A nonlinear generalization of the famous Camassa-Holm model is investigated. Provided that initial value and satisfies an associated sign condition, it is shown that there exists a unique global weak solution to the equation in space in the sense of distribution, and .
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/838302 |
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| _version_ | 1832559104038535168 |
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| author | Shaoyong Lai |
| author_facet | Shaoyong Lai |
| author_sort | Shaoyong Lai |
| collection | DOAJ |
| description | A nonlinear generalization of the famous Camassa-Holm model is investigated. Provided that initial value and satisfies an associated sign condition, it is shown that there exists a unique global weak solution to the equation in space in the sense of distribution, and . |
| format | Article |
| id | doaj-art-df33d1ec91ff41578c5511a27b141e85 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-df33d1ec91ff41578c5511a27b141e852025-02-03T01:30:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/838302838302The Global Weak Solution for a Generalized Camassa-Holm EquationShaoyong Lai0Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, ChinaA nonlinear generalization of the famous Camassa-Holm model is investigated. Provided that initial value and satisfies an associated sign condition, it is shown that there exists a unique global weak solution to the equation in space in the sense of distribution, and .http://dx.doi.org/10.1155/2013/838302 |
| spellingShingle | Shaoyong Lai The Global Weak Solution for a Generalized Camassa-Holm Equation Abstract and Applied Analysis |
| title | The Global Weak Solution for a Generalized Camassa-Holm Equation |
| title_full | The Global Weak Solution for a Generalized Camassa-Holm Equation |
| title_fullStr | The Global Weak Solution for a Generalized Camassa-Holm Equation |
| title_full_unstemmed | The Global Weak Solution for a Generalized Camassa-Holm Equation |
| title_short | The Global Weak Solution for a Generalized Camassa-Holm Equation |
| title_sort | global weak solution for a generalized camassa holm equation |
| url | http://dx.doi.org/10.1155/2013/838302 |
| work_keys_str_mv | AT shaoyonglai theglobalweaksolutionforageneralizedcamassaholmequation AT shaoyonglai globalweaksolutionforageneralizedcamassaholmequation |