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Dynamics of parabolic equations via the finite element method I. Continuity of the set of equilibria

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dc.contributor.authorFigueroa-López, R. N. [UNESP]
dc.contributor.authorLozada-Cruz, G. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:07:06Z
dc.date.available2018-12-11T17:07:06Z
dc.date.issued2016-11-05
dc.description.abstractIn this paper we study the dynamics of parabolic semilinear differential equations with homogeneous Dirichlet boundary conditions via the discretization of finite element method. We provide an appropriate functional setting to treat this problem and, as a first step, we show the continuity of the set of equilibria and of its linear unstable manifolds.en
dc.description.affiliationDepartamento de Matemática IBILCE UNESP – Universidade Estadual Paulista
dc.description.affiliationUnespDepartamento de Matemática IBILCE UNESP – Universidade Estadual Paulista
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 09/08088-9
dc.description.sponsorshipIdFAPESP: 09/08435-0
dc.description.sponsorshipIdFAPESP: 13/21155-2
dc.format.extent5235-5259
dc.identifierhttp://dx.doi.org/10.1016/j.jde.2016.07.023
dc.identifier.citationJournal of Differential Equations, v. 261, n. 9, p. 5235-5259, 2016.
dc.identifier.doi10.1016/j.jde.2016.07.023
dc.identifier.issn1090-2732
dc.identifier.issn0022-0396
dc.identifier.scopus2-s2.0-84992088522
dc.identifier.urihttp://hdl.handle.net/11449/173656
dc.language.isoeng
dc.relation.ispartofJournal of Differential Equations
dc.relation.ispartofsjr2,525
dc.relation.ispartofsjr2,525
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectFinite elements method
dc.subjectParabolic equations
dc.subjectUpper and lower semicontinuity of equilibria
dc.titleDynamics of parabolic equations via the finite element method I. Continuity of the set of equilibriaen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas