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Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.

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dc.contributor.authorArrieta Algarra, José María
dc.contributor.authorCarvalho, Alexandre N.
dc.contributor.authorLozada-Cruz, Germán
dc.date.accessioned2023-06-20T09:30:12Z
dc.date.available2023-06-20T09:30:12Z
dc.date.issued2006
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.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGES
dc.description.sponsorshipCNPq
dc.description.sponsorshipFAPESP
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/13438
dc.identifier.doi10.1016/j.jde.2006.06.002
dc.identifier.issn0022-0396
dc.identifier.officialurlhttp://www.sciencedirect.com/science/journal/00220396
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49744
dc.issue.number2
dc.journal.titleJournal of Differential Equations
dc.language.isoeng
dc.page.final597
dc.page.initial551
dc.publisherElsevier
dc.relation.projectIDBFM-2003-03810
dc.relation.projectID305447/2005-0
dc.relation.projectID03/10042-0
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordReaction-diffusion equation
dc.subject.keywordStationary solutions
dc.subject.keywordDumbbell domains
dc.subject.keywordcontinuity
dc.subject.keywordHomogeneous Neumann boundary conditions
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleDynamics in Dumbbell domains. I: Continuity of the set of equilibria.
dc.typejournal article
dc.volume.number231
dspace.entity.typePublication
relation.isAuthorOfPublication2f8ee04e-dfcb-4000-a2ae-18047c5f0f4a
relation.isAuthorOfPublication.latestForDiscovery2f8ee04e-dfcb-4000-a2ae-18047c5f0f4a

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