DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong Jung | ko |
dc.contributor.author | Ni, Wei-Ming | ko |
dc.contributor.author | Taniguchi, Masaharu | ko |
dc.date.accessioned | 2013-04-19T09:38:01Z | - |
dc.date.available | 2013-04-19T09:38:01Z | - |
dc.date.created | 2013-03-19 | - |
dc.date.created | 2013-03-19 | - |
dc.date.issued | 2013-08 | - |
dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.33, no.8, pp.3707 - 3718 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/173576 | - |
dc.description.abstract | Assume 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.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.subject | POSITIVE SOLUTIONS | - |
dc.subject | UNIQUENESS | - |
dc.subject | RN | - |
dc.subject | EXISTENCE | - |
dc.subject | SYMMETRY | - |
dc.title | non-existence of localized travelling waves with non-zero speed in single reaction-diffusion equations | - |
dc.type | Article | - |
dc.identifier.wosid | 000314829100022 | - |
dc.identifier.scopusid | 2-s2.0-84872970954 | - |
dc.type.rims | ART | - |
dc.citation.volume | 33 | - |
dc.citation.issue | 8 | - |
dc.citation.beginningpage | 3707 | - |
dc.citation.endingpage | 3718 | - |
dc.citation.publicationname | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.identifier.doi | 10.3934/dcds.2013.33.3707 | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.contributor.nonIdAuthor | Ni, Wei-Ming | - |
dc.contributor.nonIdAuthor | Taniguchi, Masaharu | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Travelling waves | - |
dc.subject.keywordAuthor | travelling spots | - |
dc.subject.keywordAuthor | reaction-diffusion equations | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | UNIQUENESS | - |
dc.subject.keywordPlus | RN | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | SYMMETRY | - |
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