DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Yonggeun | ko |
dc.contributor.author | Kwon, Soonsik | ko |
dc.contributor.author | Lee, Kiyeon | ko |
dc.contributor.author | Yang, Changhun | ko |
dc.date.accessioned | 2023-11-14T01:00:10Z | - |
dc.date.available | 2023-11-14T01:00:10Z | - |
dc.date.created | 2023-11-14 | - |
dc.date.issued | 2024-03 | - |
dc.identifier.citation | ADVANCES IN DIFFERENTIAL EQUATIONS, v.29, no.3-4, pp.179 - 222 | - |
dc.identifier.issn | 1079-9389 | - |
dc.identifier.uri | http://hdl.handle.net/10203/314533 | - |
dc.description.abstract | In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic field. We prove the global well-posedness and modified scattering for small solutions in the weighted Sobolev class. Imposing the Lorenz gauge condition, (and taking the Dirac projection operator), it becomes a system of Dirac equations with Hartree type non -linearity with a long-range potential as |x|-1. We perform the weighted energy estimates. In this procedure, we have to deal with various resonance functions that stem from the Dirac projections. We use the space-time resonance argument of Germain-Masmoudi-Shatah ([14, 15, 16]), as well as the spinorial null-structure. On the way, we recognize a long-range interaction which is responsible for a logarithmic phase correction in the modified scattering statement. This result was obtained by Cloos in his dissertation [9], via a different technique (see Remark 1.2). | - |
dc.language | English | - |
dc.publisher | KHAYYAM PUBL CO INC | - |
dc.title | THE MODIFIED SCATTERING FOR DIRAC EQUATIONS OF SCATTERING-CRITICAL NONLINEARITY | - |
dc.type | Article | - |
dc.identifier.wosid | 001090115900001 | - |
dc.type.rims | ART | - |
dc.citation.volume | 29 | - |
dc.citation.issue | 3-4 | - |
dc.citation.beginningpage | 179 | - |
dc.citation.endingpage | 222 | - |
dc.citation.publicationname | ADVANCES IN DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.57262/ade029-0304-179 | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Cho, Yonggeun | - |
dc.contributor.nonIdAuthor | Lee, Kiyeon | - |
dc.contributor.nonIdAuthor | Yang, Changhun | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | LONG-RANGE SCATTERING | - |
dc.subject.keywordPlus | SCHRODINGER-EQUATIONS | - |
dc.subject.keywordPlus | GLOBAL-SOLUTIONS | - |
dc.subject.keywordPlus | NULL STRUCTURE | - |
dc.subject.keywordPlus | INITIAL DATA | - |
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