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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

THE STABILITY OF NONLINEAR SCHRODINGER EQUATIONS WITH A POTENTIAL IN HIGH SOBOLEV NORMS REVISITED

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dc.contributor.authorChae, Myeongjuko
dc.contributor.authorKwon, Soonsikko
dc.date.accessioned2016-07-04T03:13:28Z-
dc.date.available2016-07-04T03:13:28Z-
dc.date.created2016-05-10-
dc.date.created2016-05-10-
dc.date.issued2016-03-
dc.identifier.citationCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.15, no.2, pp.341 - 365-
dc.identifier.issn1534-0392-
dc.identifier.urihttp://hdl.handle.net/10203/209044-
dc.description.abstractWe consider the nonlinear Schrodinger equations with a potential on T-d. For almost all potentials, we show the almost global stability in very high Sobolev norms. We apply an iteration of the Birkhoff normal form, as in the formulation introduced by Bourgain [4]. This result reproves a dynamical consequence of the infinite dimensional Birkhoff normal form theorem by Bambusi and Grebert [2]-
dc.languageEnglish-
dc.publisherAMER INST MATHEMATICAL SCIENCES-
dc.subjectDIMENSIONAL HAMILTONIAN-SYSTEMS-
dc.subjectPARTIAL-DIFFERENTIAL-EQUATIONS-
dc.subjectBIRKHOFF NORMAL-FORM-
dc.subjectGROWTH-
dc.subjectDIFFUSION-
dc.subjectBOUNDS-
dc.titleTHE STABILITY OF NONLINEAR SCHRODINGER EQUATIONS WITH A POTENTIAL IN HIGH SOBOLEV NORMS REVISITED-
dc.typeArticle-
dc.identifier.wosid000373478800004-
dc.identifier.scopusid2-s2.0-85009814752-
dc.type.rimsART-
dc.citation.volume15-
dc.citation.issue2-
dc.citation.beginningpage341-
dc.citation.endingpage365-
dc.citation.publicationnameCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS-
dc.identifier.doi10.3934/cpaa.2016.15.341-
dc.contributor.localauthorKwon, Soonsik-
dc.contributor.nonIdAuthorChae, Myeongju-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorBirkhoff normal form-
dc.subject.keywordAuthornonlinear Schrodinger equations-
dc.subject.keywordAuthoralmost global stability-
dc.subject.keywordPlusDIMENSIONAL HAMILTONIAN-SYSTEMS-
dc.subject.keywordPlusPARTIAL-DIFFERENTIAL-EQUATIONS-
dc.subject.keywordPlusBIRKHOFF NORMAL-FORM-
dc.subject.keywordPlusGROWTH-
dc.subject.keywordPlusDIFFUSION-
dc.subject.keywordPlusBOUNDS-
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MA-Journal Papers(저널논문)
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