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Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Yonggeun | - |
dc.contributor.author | Hong, Seokchang | - |
dc.date.accessioned | 2024-05-14T07:16:16Z | - |
dc.date.available | 2024-05-14T07:16:16Z | - |
dc.date.created | 2021-11-08 | - |
dc.date.issued | 2021-12 | - |
dc.identifier.citation | Nonlinear Differential Equations and Applications, Vol.28 No.6, p. 70 | - |
dc.identifier.issn | 1021-9722 | - |
dc.identifier.uri | https://hdl.handle.net/10371/201991 | - |
dc.description.abstract | In this paper we consider a Cauchy problem on the self-dual relativistic non-abelian Chern-Simons-Higgs model, which is the system of equations of sl(n, C) (n >= 2)-valued matter field phi and gauge field A. Based on the frequency localization as well as the null structure we show local well-posedness in the Sobolev space Hs+ 1/2 x H-s for s > 1/4. We also prove that the solution flow map (phi(0), A(0)) -> (phi(t), A(t)) fails to be C-2 at the origin of H-s xH(sigma) when sigma < max(0, s - 1) regardless of s is an element of R. | - |
dc.language | 영어 | - |
dc.publisher | Birkhauser Verlag | - |
dc.title | Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00030-021-00732-5 | - |
dc.citation.journaltitle | Nonlinear Differential Equations and Applications | - |
dc.identifier.wosid | 000707013500001 | - |
dc.identifier.scopusid | 2-s2.0-85117321063 | - |
dc.citation.number | 6 | - |
dc.citation.startpage | 70 | - |
dc.citation.volume | 28 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | Hong, Seokchang | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordPlus | YANG-MILLS EQUATIONS | - |
dc.subject.keywordPlus | LOCAL WELL-POSEDNESS | - |
dc.subject.keywordPlus | CAUCHY-PROBLEM | - |
dc.subject.keywordPlus | DIRAC | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | FORMS | - |
dc.subject.keywordAuthor | Chern-Simons-Higgs system | - |
dc.subject.keywordAuthor | Non-abelian gauge theory | - |
dc.subject.keywordAuthor | Local well-posedness | - |
dc.subject.keywordAuthor | Null structure | - |
dc.subject.keywordAuthor | Bilinear estimates | - |
dc.subject.keywordAuthor | Failure of C-2 smoothness | - |
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