The Uniqueness of Strong Solutions for the Camassa-Holm Equation
Assume that there exists a strong solution of the Camassa-Holm equation and the initial value of the solution belongs to the Sobolev space H1(R). We provide a new proof of the uniqueness of the strong solution for the equation.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/409760 |
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| _version_ | 1849694518487547904 |
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| author | Meng Wu Chong Lai |
| author_facet | Meng Wu Chong Lai |
| author_sort | Meng Wu |
| collection | DOAJ |
| description | Assume that there exists a strong solution of the Camassa-Holm equation and the initial value of the solution belongs to the Sobolev space H1(R). We provide a new proof of the uniqueness of the strong solution
for the equation. |
| format | Article |
| id | doaj-art-fa5f90252a984c169b984d40acfa1ebc |
| institution | DOAJ |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-fa5f90252a984c169b984d40acfa1ebc2025-08-20T03:20:03ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/409760409760The Uniqueness of Strong Solutions for the Camassa-Holm EquationMeng Wu0Chong Lai1The School of Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaThe School of Finance, Southwestern University of Finance and Economics, Chengdu 610074, ChinaAssume that there exists a strong solution of the Camassa-Holm equation and the initial value of the solution belongs to the Sobolev space H1(R). We provide a new proof of the uniqueness of the strong solution for the equation.http://dx.doi.org/10.1155/2013/409760 |
| spellingShingle | Meng Wu Chong Lai The Uniqueness of Strong Solutions for the Camassa-Holm Equation Journal of Function Spaces and Applications |
| title | The Uniqueness of Strong Solutions for the Camassa-Holm Equation |
| title_full | The Uniqueness of Strong Solutions for the Camassa-Holm Equation |
| title_fullStr | The Uniqueness of Strong Solutions for the Camassa-Holm Equation |
| title_full_unstemmed | The Uniqueness of Strong Solutions for the Camassa-Holm Equation |
| title_short | The Uniqueness of Strong Solutions for the Camassa-Holm Equation |
| title_sort | uniqueness of strong solutions for the camassa holm equation |
| url | http://dx.doi.org/10.1155/2013/409760 |
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