The existence of global strong and weak solutions for the Novikov equation
| dc.contributor.author | Lai, Shaoyong | |
| dc.contributor.author | Li, Nan | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T14:31:13Z | |
| dc.date.available | 2017-01-30T14:31:13Z | |
| dc.date.created | 2014-03-30T20:00:57Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Lai, Shaoyong and Li, Nan and Wu, Yonghong. 2013. The existence of global strong and weak solutions for the Novikov equation. Journal of Mathematical Analysis and Applications. 399 (2): pp. 682-691. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/39165 | |
| dc.identifier.doi | 10.1016/j.jmaa.2012.10.048 | |
| dc.description.abstract |
The well-posedness of the global strong and weak solutions for the Novikov equation is investigated. Provided that initial value u0 ∈ Hs(s > 3/2) and satisfying a sign condition, the existence and uniqueness of global strong solutions for the equation are shown to be valid in Sobolev space. The estimates in Hq(R) space with 0≤q≤1/2, which are derived from the equation itself, are developed to prove the existence and uniqueness of the global weak solutions. | |
| dc.publisher | Academic Press | |
| dc.subject | The Novikov equation | |
| dc.subject | Global weak solution | |
| dc.subject | Global strong solution | |
| dc.subject | Well-posedness | |
| dc.title | The existence of global strong and weak solutions for the Novikov equation | |
| dc.type | Journal Article | |
| dcterms.source.volume | 399 | |
| dcterms.source.number | 2 | |
| dcterms.source.startPage | 682 | |
| dcterms.source.endPage | 691 | |
| dcterms.source.issn | 0022247X | |
| dcterms.source.title | Journal of Mathematical Analysis and Applications | |
| curtin.department | ||
| curtin.accessStatus | Open access via publisher |