On a phase transition model

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dc.contributor.authorByeon, Jaeyoungko
dc.contributor.authorRabinowitz, Paul H.ko
dc.date.accessioned2014-09-04T07:52:26Z-
dc.date.available2014-09-04T07:52:26Z-
dc.date.created2013-07-22-
dc.date.created2013-07-22-
dc.date.created2013-07-22-
dc.date.issued2013-05-
dc.identifier.citationCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.47, no.1-2, pp.1 - 23-
dc.identifier.issn0944-2669-
dc.identifier.urihttp://hdl.handle.net/10203/189939-
dc.description.abstractAn Allen-Cahn phase transition model with a periodic nonautonomous term is presented for which an infinite number of transition states is shown to exist. A constrained minimization argument and the analysis of a limit problem are employed to get states having a finite number of transitions. A priori bounds and an approximation procedure give the general case. Decay properties are also studied and a sharp transition result with an arbitrary interface is proved.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectALLEN-CAHN EQUATIONS-
dc.subjectSTATIONARY LAYERED SOLUTIONS-
dc.subjectPERIODIC MEDIA-
dc.subjectELLIPTIC PROBLEMS-
dc.subjectMIXED STATES-
dc.subjectR-N-
dc.subjectR-2-
dc.subjectMULTIPLICITY-
dc.subjectMINIMIZERS-
dc.subjectBANGERT-
dc.titleOn a phase transition model-
dc.typeArticle-
dc.identifier.wosid000317970100001-
dc.identifier.scopusid2-s2.0-84876428739-
dc.type.rimsART-
dc.citation.volume47-
dc.citation.issue1-2-
dc.citation.beginningpage1-
dc.citation.endingpage23-
dc.citation.publicationnameCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS-
dc.identifier.doi10.1007/s00526-012-0507-2-
dc.contributor.localauthorByeon, Jaeyoung-
dc.contributor.nonIdAuthorRabinowitz, Paul H.-
dc.type.journalArticleArticle-
dc.subject.keywordPlusALLEN-CAHN EQUATIONS-
dc.subject.keywordPlusSTATIONARY LAYERED SOLUTIONS-
dc.subject.keywordPlusPERIODIC MEDIA-
dc.subject.keywordPlusELLIPTIC PROBLEMS-
dc.subject.keywordPlusMIXED STATES-
dc.subject.keywordPlusR-N-
dc.subject.keywordPlusR-2-
dc.subject.keywordPlusMULTIPLICITY-
dc.subject.keywordPlusMINIMIZERS-
dc.subject.keywordPlusBANGERT-
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