A model containing both the Camassa–Holm and Degasperis–Procesi equations
| dc.contributor.author | Lai, S. | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T10:59:23Z | |
| dc.date.available | 2017-01-30T10:59:23Z | |
| dc.date.created | 2012-03-25T20:01:24Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Lai, Shaoyong and Wu, Yonghong. 2011. A model containing both the Camassa–Holm and Degasperis–Procesi equations. Journal of Mathematical Analysis and Applications. 374: pp. 458-469. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/7358 | |
| dc.identifier.doi | 10.1016/j.jmaa.2010.09.012 | |
| dc.description.abstract |
A nonlinear dispersive partial differential equation, which includes the famous Camassa–Holm and Degasperis–Procesi equations as special cases, is investigated. Although the H1-norm of the solutions to the nonlinear model does not remain constants, the existence of its weak solutions in lower order Sobolev space Hs with 1 < s <= 3/2 is established under the assumptions u0 ε Hs and t norm of ||u0x||L∞ < ∞. The local well-posedness of solutions for the equation in the Sobolev space Hs(R) with s > 3/2 is also developed. | |
| dc.publisher | Academic Press | |
| dc.subject | Local well-posedness | |
| dc.subject | Camassa–Holm equation | |
| dc.subject | Weak solution | |
| dc.subject | Degasperis–Procesi | |
| dc.title | A model containing both the Camassa–Holm and Degasperis–Procesi equations | |
| dc.type | Journal Article | |
| dcterms.source.volume | 374 | |
| dcterms.source.startPage | 458 | |
| dcterms.source.endPage | 469 | |
| dcterms.source.issn | 0022247X | |
| dcterms.source.title | Journal of Mathematical Analysis and Applications | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access via publisher |