DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwon, Soonsik | ko |
dc.contributor.author | Roy, Tristan | ko |
dc.date.accessioned | 2016-06-28T01:59:31Z | - |
dc.date.available | 2016-06-28T01:59:31Z | - |
dc.date.created | 2016-03-08 | - |
dc.date.created | 2016-03-08 | - |
dc.date.issued | 2016-03 | - |
dc.identifier.citation | ADVANCES IN DIFFERENTIAL EQUATIONS, v.21, no.3-4, pp.333 - 372 | - |
dc.identifier.issn | 1079-9389 | - |
dc.identifier.uri | http://hdl.handle.net/10203/207938 | - |
dc.description.abstract | We 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.language | English | - |
dc.publisher | KHAYYAM PUBL CO INC | - |
dc.subject | SCHRODINGER-EQUATIONS | - |
dc.subject | ENERGY SCATTERING | - |
dc.subject | WELL-POSEDNESS | - |
dc.subject | CAUCHY-PROBLEM | - |
dc.subject | TIME DECAY | - |
dc.subject | WAVE | - |
dc.subject | OPERATORS | - |
dc.subject | SPACE | - |
dc.title | SCATTERING OF ROUGH SOLUTIONS OF THE NONLINEAR KLEIN-GORDON EQUATIONS IN 3D | - |
dc.type | Article | - |
dc.identifier.wosid | 000370103800005 | - |
dc.identifier.scopusid | 2-s2.0-84971505032 | - |
dc.type.rims | ART | - |
dc.citation.volume | 21 | - |
dc.citation.issue | 3-4 | - |
dc.citation.beginningpage | 333 | - |
dc.citation.endingpage | 372 | - |
dc.citation.publicationname | ADVANCES IN DIFFERENTIAL EQUATIONS | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Roy, Tristan | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SCHRODINGER-EQUATIONS | - |
dc.subject.keywordPlus | ENERGY SCATTERING | - |
dc.subject.keywordPlus | WELL-POSEDNESS | - |
dc.subject.keywordPlus | CAUCHY-PROBLEM | - |
dc.subject.keywordPlus | TIME DECAY | - |
dc.subject.keywordPlus | WAVE | - |
dc.subject.keywordPlus | OPERATORS | - |
dc.subject.keywordPlus | SPACE | - |
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