Unbounded solutions for a periodic phase transition model

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dc.contributor.authorByeon, Jaeyoungko
dc.contributor.authorRabinowitz, Paul H.ko
dc.date.accessioned2016-07-04T03:15:10Z-
dc.date.available2016-07-04T03:15:10Z-
dc.date.created2016-05-10-
dc.date.created2016-05-10-
dc.date.issued2016-01-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, v.260, no.2, pp.1126 - 1153-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/10203/209063-
dc.description.abstractIn an earlier paper, [1], the authors treated a family of Allen-Cahn model problems for which 0 and 1 are solutions and further solutions were found that are near 1 on a prescribed set, T + Omega, where T subset of Z(n), and near 0 on (Z(n)\T) + Omega. Here Omega subset of (0, 1)(n). In this paper, a more general class of potentials is treated for which the pair, {0, 1}, is replaced by Z and the existence of a far richer structure of shadowing solutions, including unbounded ones, is established. (C) 2015 Elsevier Inc. All rights reserved-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectSTATIONARY LAYERED SOLUTIONS-
dc.subjectALLEN-CAHN EQUATIONS-
dc.subjectVARIATIONAL-PROBLEMS-
dc.subjectELLIPTIC PROBLEMS-
dc.subjectR-N-
dc.subjectMULTIPLICITY-
dc.subjectR-2-
dc.subjectMINIMIZERS-
dc.subjectSYSTEMS-
dc.subjectTORUS-
dc.titleUnbounded solutions for a periodic phase transition model-
dc.typeArticle-
dc.identifier.wosid000373536400008-
dc.identifier.scopusid2-s2.0-84947869136-
dc.type.rimsART-
dc.citation.volume260-
dc.citation.issue2-
dc.citation.beginningpage1126-
dc.citation.endingpage1153-
dc.citation.publicationnameJOURNAL OF DIFFERENTIAL EQUATIONS-
dc.identifier.doi10.1016/j.jde.2015.09.024-
dc.contributor.localauthorByeon, Jaeyoung-
dc.contributor.nonIdAuthorRabinowitz, Paul H.-
dc.type.journalArticleArticle-
dc.subject.keywordPlusSTATIONARY LAYERED SOLUTIONS-
dc.subject.keywordPlusALLEN-CAHN EQUATIONS-
dc.subject.keywordPlusVARIATIONAL-PROBLEMS-
dc.subject.keywordPlusELLIPTIC PROBLEMS-
dc.subject.keywordPlusR-N-
dc.subject.keywordPlusMULTIPLICITY-
dc.subject.keywordPlusR-2-
dc.subject.keywordPlusMINIMIZERS-
dc.subject.keywordPlusSYSTEMS-
dc.subject.keywordPlusTORUS-
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