Dynamics in dumbbell domains I. Continuity of the set of equilibria

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dc.contributor.authorArrieta, Jose M.
dc.contributor.authorCarvalho, Alexandre N.
dc.contributor.authorLozada-Cruz, German
dc.contributor.institutionUniv Complutense Madrid
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:28:47Z
dc.date.available2014-05-20T15:28:47Z
dc.date.issued2006-12-15
dc.description.abstractWe analyze the dynamics of a reaction-diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstable manifolds. (c) 2006 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Complutense Madrid, Fac Matemat, Dept Matemat Aplicada, E-28040 Madrid, Spain
dc.description.affiliationUniv São Paulo, Inst Ciências Matemat & Computacao, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
dc.description.affiliationUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUnespUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.format.extent551-597
dc.identifierhttp://dx.doi.org/10.1016/j.jde.2006.06.002
dc.identifier.citationJournal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 231, n. 2, p. 551-597, 2006.
dc.identifier.doi10.1016/j.jde.2006.06.002
dc.identifier.fileWOS000244851200006.pdf
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/11449/38533
dc.identifier.wosWOS:000244851200006
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Differential Equations
dc.relation.ispartofjcr1.782
dc.relation.ispartofsjr2,525
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectreaction-diffusion equationpt
dc.subjectstationary solutionspt
dc.subjectdumbbell domainspt
dc.subjectcontinuitypt
dc.titleDynamics in dumbbell domains I. Continuity of the set of equilibriaen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.orcid0000-0002-9274-5039[1]
unesp.author.orcid0000-0003-2860-954X[3]
unesp.author.orcid0000-0003-4279-6740[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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