DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwon, Soonsik | ko |
dc.contributor.author | Oh, Tadahiro | ko |
dc.date.accessioned | 2013-03-13T00:18:11Z | - |
dc.date.available | 2013-03-13T00:18:11Z | - |
dc.date.created | 2012-09-27 | - |
dc.date.created | 2012-09-27 | - |
dc.date.created | 2012-09-27 | - |
dc.date.issued | 2012-08 | - |
dc.identifier.citation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2012, no.15, pp.3509 - 3534 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | http://hdl.handle.net/10203/103987 | - |
dc.description.abstract | Bourgain [2] proved that the periodic modified Korteweg-de Vries (mKdV) equation is locally well-posed in H-s(T), s >= 1/2, by introducing new weighted Sobolev spaces X-s,X-b, where the uniqueness holds conditionally, namely in C([0, T]; H-s) boolean AND X-s,X-1/2 ([0, T] x T). In this paper, we establish unconditional well-posedness of mKdV in H-s(T), s >= 1/2, that is, in addition we establish unconditional uniqueness in C([0, T]; H-s), s >= 1/2, of solutions to mKdV. We prove this result via differentiation by parts. For the endpoint case s = 1/2, we perform careful quinti- and septi-linear estimates after the second differentiation by parts. | - |
dc.language | English | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.title | On Unconditional Well-Posedness of Modified KdV | - |
dc.type | Article | - |
dc.identifier.wosid | 000307173400006 | - |
dc.identifier.scopusid | 2-s2.0-84864681131 | - |
dc.type.rims | ART | - |
dc.citation.volume | 2012 | - |
dc.citation.issue | 15 | - |
dc.citation.beginningpage | 3509 | - |
dc.citation.endingpage | 3534 | - |
dc.citation.publicationname | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.identifier.doi | 10.1093/imrn/rnr156 | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Oh, Tadahiro | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | H-S | - |
dc.subject.keywordPlus | EQUATION | - |
dc.subject.keywordPlus | SCHRODINGER | - |
dc.subject.keywordPlus | UNIQUENESS | - |
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