Publications

Detailed Information

Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge

DC Field Value Language
dc.contributor.authorCho, Yonggeun-
dc.contributor.authorHong, Seokchang-
dc.date.accessioned2024-05-14T07:16:16Z-
dc.date.available2024-05-14T07:16:16Z-
dc.date.created2021-11-08-
dc.date.issued2021-12-
dc.identifier.citationNonlinear Differential Equations and Applications, Vol.28 No.6, p. 70-
dc.identifier.issn1021-9722-
dc.identifier.urihttps://hdl.handle.net/10371/201991-
dc.description.abstractIn 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.language영어-
dc.publisherBirkhauser Verlag-
dc.titleLow regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge-
dc.typeArticle-
dc.identifier.doi10.1007/s00030-021-00732-5-
dc.citation.journaltitleNonlinear Differential Equations and Applications-
dc.identifier.wosid000707013500001-
dc.identifier.scopusid2-s2.0-85117321063-
dc.citation.number6-
dc.citation.startpage70-
dc.citation.volume28-
dc.description.isOpenAccessN-
dc.contributor.affiliatedAuthorHong, Seokchang-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.subject.keywordPlusYANG-MILLS EQUATIONS-
dc.subject.keywordPlusLOCAL WELL-POSEDNESS-
dc.subject.keywordPlusCAUCHY-PROBLEM-
dc.subject.keywordPlusDIRAC-
dc.subject.keywordPlusEXISTENCE-
dc.subject.keywordPlusFORMS-
dc.subject.keywordAuthorChern-Simons-Higgs system-
dc.subject.keywordAuthorNon-abelian gauge theory-
dc.subject.keywordAuthorLocal well-posedness-
dc.subject.keywordAuthorNull structure-
dc.subject.keywordAuthorBilinear estimates-
dc.subject.keywordAuthorFailure of C-2 smoothness-
Appears in Collections:
Files in This Item:
There are no files associated with this item.

Related Researcher

  • College of Pharmacy
  • Department of Manufacturing Pharmacy
Research Area Development of methodologies using metal catalyst, Total synthesis of natural products

Altmetrics

Item View & Download Count

  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Share