non-existence of localized travelling waves with non-zero speed in single reaction-diffusion equations

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dc.contributor.authorKim, Yong Jungko
dc.contributor.authorNi, Wei-Mingko
dc.contributor.authorTaniguchi, Masaharuko
dc.date.accessioned2013-04-19T09:38:01Z-
dc.date.available2013-04-19T09:38:01Z-
dc.date.created2013-03-19-
dc.date.created2013-03-19-
dc.date.issued2013-08-
dc.identifier.citationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.33, no.8, pp.3707 - 3718-
dc.identifier.issn1078-0947-
dc.identifier.urihttp://hdl.handle.net/10203/173576-
dc.description.abstractAssume a single reaction-diffusion equation has zero as an asymptotically stable stationary point. Then we prove that there exist no localized travelling waves with non-zero speed. If [lim inf(vertical bar x vertical bar -> infinity) u(x), lim sup(vertical bar x vertical bar -> infinity) u(x)] is included in an open interval of zero that does not include other stationary points, then the speed has to be zero or the travelling profile u has to be identically zero.-
dc.languageEnglish-
dc.publisherAMER INST MATHEMATICAL SCIENCES-
dc.subjectPOSITIVE SOLUTIONS-
dc.subjectUNIQUENESS-
dc.subjectRN-
dc.subjectEXISTENCE-
dc.subjectSYMMETRY-
dc.titlenon-existence of localized travelling waves with non-zero speed in single reaction-diffusion equations-
dc.typeArticle-
dc.identifier.wosid000314829100022-
dc.identifier.scopusid2-s2.0-84872970954-
dc.type.rimsART-
dc.citation.volume33-
dc.citation.issue8-
dc.citation.beginningpage3707-
dc.citation.endingpage3718-
dc.citation.publicationnameDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-
dc.identifier.doi10.3934/dcds.2013.33.3707-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKim, Yong Jung-
dc.contributor.nonIdAuthorNi, Wei-Ming-
dc.contributor.nonIdAuthorTaniguchi, Masaharu-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorTravelling waves-
dc.subject.keywordAuthortravelling spots-
dc.subject.keywordAuthorreaction-diffusion equations-
dc.subject.keywordPlusPOSITIVE SOLUTIONS-
dc.subject.keywordPlusUNIQUENESS-
dc.subject.keywordPlusRN-
dc.subject.keywordPlusEXISTENCE-
dc.subject.keywordPlusSYMMETRY-
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