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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

Solutions of higher topological type for an Allen-Cahn model equation

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dc.contributor.authorByeon, Jaeyoungko
dc.contributor.authorRabinowitz, Paul H.ko
dc.date.accessioned2015-04-07T05:07:40Z-
dc.date.available2015-04-07T05:07:40Z-
dc.date.created2015-02-24-
dc.date.created2015-02-24-
dc.date.issued2014-06-
dc.identifier.citationJOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.15, no.2, pp.379 - 404-
dc.identifier.issn1661-7738-
dc.identifier.urihttp://hdl.handle.net/10203/195282-
dc.description.abstractIn this paper, the Allen-Cahn model equation has 0 and 1 as solutions and as minima of the associated functional. The existence of solutions that are local minima and are close to 0 and 1 on a prescribed pattern of sets has been established in [Calc. Var. Partial Differential Equations 47 (2013), 1-23]. Here related solutions of higher topological type are obtained using minimax and heat flow arguments on a family of invariant sets.-
dc.languageEnglish-
dc.publisherSPRINGER BASEL AG-
dc.subjectSTATIONARY LAYERED SOLUTIONS-
dc.subjectMULTIPLICITY-
dc.subjectR-2-
dc.subjectSYSTEM-
dc.subjectPDES-
dc.titleSolutions of higher topological type for an Allen-Cahn model equation-
dc.typeArticle-
dc.identifier.wosid000347721800004-
dc.identifier.scopusid2-s2.0-84922079951-
dc.type.rimsART-
dc.citation.volume15-
dc.citation.issue2-
dc.citation.beginningpage379-
dc.citation.endingpage404-
dc.citation.publicationnameJOURNAL OF FIXED POINT THEORY AND APPLICATIONS-
dc.identifier.doi10.1007/s11784-014-0190-3-
dc.contributor.localauthorByeon, Jaeyoung-
dc.contributor.nonIdAuthorRabinowitz, Paul H.-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorAllen-Cahn model-
dc.subject.keywordAuthorspatial transitions-
dc.subject.keywordAuthorminimax-
dc.subject.keywordAuthorhigher topological type-
dc.subject.keywordAuthorheat flow-
dc.subject.keywordAuthorinvariant sets-
dc.subject.keywordPlusSTATIONARY LAYERED SOLUTIONS-
dc.subject.keywordPlusMULTIPLICITY-
dc.subject.keywordPlusR-2-
dc.subject.keywordPlusSYSTEM-
dc.subject.keywordPlusPDES-
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