DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Yonggeun | ko |
dc.contributor.author | Hwang, Gyeongha | ko |
dc.contributor.author | Kwon, Soonsik | ko |
dc.contributor.author | Lee, Sanghyuk | ko |
dc.date.accessioned | 2015-04-08T06:11:47Z | - |
dc.date.available | 2015-04-08T06:11:47Z | - |
dc.date.created | 2015-03-24 | - |
dc.date.created | 2015-03-24 | - |
dc.date.created | 2015-03-24 | - |
dc.date.issued | 2015-07 | - |
dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.35, no.7, pp.2863 - 2880 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/195772 | - |
dc.description.abstract | We study the low regularity well-posedness of the 1-dimensional cubic nonlinear fractional Schrodinger equations with Levy indices 1 < alpha < 2. We consider both non-periodic and periodic cases, and prove that the Cauchy problems are locally well-posed in H-S for s >= 2-alpha/4. This is shown via a trilinear estimate in Bourgain's X-s,X-b space. We also show that non-periodic equations are ill-posed in H-S for 2-3 alpha/4(alpha+1) < 2-alpha/4 in the sense that the flow map is not locally uniformly continuous. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.title | WELL-POSEDNESS AND ILL-POSEDNESS FOR THE CUBIC FRACTIONAL SCHRODINGER EQUATIONS | - |
dc.type | Article | - |
dc.identifier.wosid | 000349678500004 | - |
dc.identifier.scopusid | 2-s2.0-84921872388 | - |
dc.type.rims | ART | - |
dc.citation.volume | 35 | - |
dc.citation.issue | 7 | - |
dc.citation.beginningpage | 2863 | - |
dc.citation.endingpage | 2880 | - |
dc.citation.publicationname | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.identifier.doi | 10.3934/dcds.2015.35.2863 | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Cho, Yonggeun | - |
dc.contributor.nonIdAuthor | Hwang, Gyeongha | - |
dc.contributor.nonIdAuthor | Lee, Sanghyuk | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Fractional Schrodinger equation | - |
dc.subject.keywordAuthor | cubic nonlinearity | - |
dc.subject.keywordAuthor | well-posedness | - |
dc.subject.keywordAuthor | ill-posedness | - |
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