Poincare-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Guo, Zihua | ko |
| dc.contributor.author | Kwon, Soonsik | ko |
| dc.contributor.author | Oh, Tadahiro | ko |
| dc.date.accessioned | 2013-08-22T02:28:35Z | - |
| dc.date.available | 2013-08-22T02:28:35Z | - |
| dc.date.created | 2013-08-21 | - |
| dc.date.created | 2013-08-21 | - |
| dc.date.created | 2013-08-21 | - |
| dc.date.issued | 2013-08 | - |
| dc.identifier.citation | COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.322, no.1, pp.19 - 48 | - |
| dc.identifier.issn | 0010-3616 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/175546 | - |
| dc.description.abstract | We implement an infinite iteration scheme of Poincar,-Dulac normal form reductions to establish an energy estimate on the one-dimensional cubic nonlinear Schrodinger equation (NLS) in , without using any auxiliary function space. This allows us to construct weak solutions of NLS in with initial data in as limits of classical solutions. As a consequence of our construction, we also prove unconditional well-posedness of NLS in for s >= 1/6. | - |
| dc.language | English | - |
| dc.publisher | SPRINGER | - |
| dc.title | Poincare-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000321466900002 | - |
| dc.identifier.scopusid | 2-s2.0-84879954004 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 322 | - |
| dc.citation.issue | 1 | - |
| dc.citation.beginningpage | 19 | - |
| dc.citation.endingpage | 48 | - |
| dc.citation.publicationname | COMMUNICATIONS IN MATHEMATICAL PHYSICS | - |
| dc.identifier.doi | 10.1007/s00220-013-1755-5 | - |
| dc.contributor.localauthor | Kwon, Soonsik | - |
| dc.contributor.nonIdAuthor | Guo, Zihua | - |
| dc.contributor.nonIdAuthor | Oh, Tadahiro | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordPlus | NONLINEAR SCHRODINGER-EQUATION | - |
| dc.subject.keywordPlus | ILL-POSEDNESS | - |
| dc.subject.keywordPlus | KDV EQUATION | - |
| dc.subject.keywordPlus | I-METHOD | - |
| dc.subject.keywordPlus | H-S | - |
- Appears in Collection
- MA-Journal Papers(저널논문)
- Files in This Item
- There are no files associated with this item.
This item is cited by other documents in WoS
| ⊙ Detail Information in WoSⓡ | Click to see |  |
| ⊙ Cited 37 items in WoS | Click to see citing articles in |  |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.