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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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