The existence of weak solutions for a generalized Camassa-Holm equation
A Camassa-Holm type equation containing nonlinear dissipative effect is investigated. A sufficient condition which guarantees the existence of weak solutions of the equation in lower order Sobolev space H(s) with 1 <= s <= 3/2 is established by using the techniques of the pseudoparabolic regul...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
AIMsciences
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/5397 |
| _version_ | 1848744784938663936 |
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| author | Lai, S. Xie, Q. Guo, Y. Wu, Yong Hong |
| author_facet | Lai, S. Xie, Q. Guo, Y. Wu, Yong Hong |
| author_sort | Lai, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A Camassa-Holm type equation containing nonlinear dissipative effect is investigated. A sufficient condition which guarantees the existence of weak solutions of the equation in lower order Sobolev space H(s) with 1 <= s <= 3/2 is established by using the techniques of the pseudoparabolic regularization and some prior estimates derived from the equation itself. |
| first_indexed | 2025-11-14T06:06:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-5397 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:06:58Z |
| publishDate | 2011 |
| publisher | AIMsciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-53972017-09-13T16:07:46Z The existence of weak solutions for a generalized Camassa-Holm equation Lai, S. Xie, Q. Guo, Y. Wu, Yong Hong A Camassa-Holm type equation containing nonlinear dissipative effect is investigated. A sufficient condition which guarantees the existence of weak solutions of the equation in lower order Sobolev space H(s) with 1 <= s <= 3/2 is established by using the techniques of the pseudoparabolic regularization and some prior estimates derived from the equation itself. 2011 Journal Article http://hdl.handle.net/20.500.11937/5397 10.3934/cpaa.2011.10.45 AIMsciences unknown |
| spellingShingle | Lai, S. Xie, Q. Guo, Y. Wu, Yong Hong The existence of weak solutions for a generalized Camassa-Holm equation |
| title | The existence of weak solutions for a generalized Camassa-Holm equation |
| title_full | The existence of weak solutions for a generalized Camassa-Holm equation |
| title_fullStr | The existence of weak solutions for a generalized Camassa-Holm equation |
| title_full_unstemmed | The existence of weak solutions for a generalized Camassa-Holm equation |
| title_short | The existence of weak solutions for a generalized Camassa-Holm equation |
| title_sort | existence of weak solutions for a generalized camassa-holm equation |
| url | http://hdl.handle.net/20.500.11937/5397 |