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DC Field | Value | Language |
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dc.citation.endPage | 2880 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 2863 | - |
dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
dc.citation.volume | 35 | - |
dc.contributor.author | Cho, Yonggeun | - |
dc.contributor.author | Hwang, Gyeongha | - |
dc.contributor.author | Kwon, Soonsik | - |
dc.contributor.author | Lee, Sanghyuk | - |
dc.date.accessioned | 2023-12-22T01:08:28Z | - |
dc.date.available | 2023-12-22T01:08:28Z | - |
dc.date.created | 2015-02-13 | - |
dc.date.issued | 2015-07 | - |
dc.description.abstract | We study the low regularity well-posedness of the 1-dimensional cubic nonlinear fractional Schrödinger equations with Lévy indices 1 < α < 2. We consider both non-periodic and periodic cases, and prove that the Cauchy problems are locally well-posed in Hs for s ≥ 2-α/4. This is shown via a trilinear estimate in Bourgain's Xs,b space. We also show that non-periodic equations are ill-posed in Hs for 2-3α/4(α+1) < s < 2-α/ 4 in the sense that the flow map is not locally uniformly continuous. | - |
dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v.35, no.7, pp.2863 - 2880 | - |
dc.identifier.doi | 10.3934/dcds.2015.35.2863 | - |
dc.identifier.issn | 1531-3492 | - |
dc.identifier.scopusid | 2-s2.0-84921872388 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/10622 | - |
dc.identifier.url | http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10779 | - |
dc.identifier.wosid | 000349678500004 | - |
dc.language | 영어 | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.title | Well-posedness and ill-posedness for the cubic fractional Schrödinger equations | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied; Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Cubic nonlinearity | - |
dc.subject.keywordAuthor | Fractional Schrödinger equation | - |
dc.subject.keywordAuthor | Ill-posedness | - |
dc.subject.keywordAuthor | Well-posedness | - |
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