SCATTERING OF ROUGH SOLUTIONS OF THE NONLINEAR KLEIN-GORDON EQUATIONS IN 3D

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dc.contributor.authorKwon, Soonsikko
dc.contributor.authorRoy, Tristanko
dc.date.accessioned2016-06-28T01:59:31Z-
dc.date.available2016-06-28T01:59:31Z-
dc.date.created2016-03-08-
dc.date.created2016-03-08-
dc.date.issued2016-03-
dc.identifier.citationADVANCES IN DIFFERENTIAL EQUATIONS, v.21, no.3-4, pp.333 - 372-
dc.identifier.issn1079-9389-
dc.identifier.urihttp://hdl.handle.net/10203/207938-
dc.description.abstractWe prove scattering of solutions below the energy norm of the nonlinear Klein-Gordon equation in 3D with a defocusing power-type nonlinearity that is superconformal and energy subcritical: this result extends those obtained in the energy class [4, 18, 19] and those obtained below the energy norm under the additional assumption of spherical symmetry [25]. In order to do that, we generate an exponential-type decay estimate in H-s, s < 1, by means of concentration [1] and a low-high frequency decomposition [2, 7]: this is the starting point to prove scattering. On low frequencies, we modify the arguments in [18, 19]; on high frequencies, we use the smoothing effect of the solutions to control the error terms: this, combined with an almost conservation law, allows to prove this decay estimate.-
dc.languageEnglish-
dc.publisherKHAYYAM PUBL CO INC-
dc.subjectSCHRODINGER-EQUATIONS-
dc.subjectENERGY SCATTERING-
dc.subjectWELL-POSEDNESS-
dc.subjectCAUCHY-PROBLEM-
dc.subjectTIME DECAY-
dc.subjectWAVE-
dc.subjectOPERATORS-
dc.subjectSPACE-
dc.titleSCATTERING OF ROUGH SOLUTIONS OF THE NONLINEAR KLEIN-GORDON EQUATIONS IN 3D-
dc.typeArticle-
dc.identifier.wosid000370103800005-
dc.identifier.scopusid2-s2.0-84971505032-
dc.type.rimsART-
dc.citation.volume21-
dc.citation.issue3-4-
dc.citation.beginningpage333-
dc.citation.endingpage372-
dc.citation.publicationnameADVANCES IN DIFFERENTIAL EQUATIONS-
dc.contributor.localauthorKwon, Soonsik-
dc.contributor.nonIdAuthorRoy, Tristan-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusSCHRODINGER-EQUATIONS-
dc.subject.keywordPlusENERGY SCATTERING-
dc.subject.keywordPlusWELL-POSEDNESS-
dc.subject.keywordPlusCAUCHY-PROBLEM-
dc.subject.keywordPlusTIME DECAY-
dc.subject.keywordPlusWAVE-
dc.subject.keywordPlusOPERATORS-
dc.subject.keywordPlusSPACE-
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