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Topological Structural Stability of Partial Differential Equations on Projected Spaces

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dc.contributor.authorAragão-Costa, E. R.
dc.contributor.authorFigueroa-López, R. N. [UNESP]
dc.contributor.authorLanga, J. A.
dc.contributor.authorLozada-Cruz, G. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidad de Sevilla (US)
dc.date.accessioned2018-12-11T17:08:44Z
dc.date.available2018-12-11T17:08:44Z
dc.date.issued2018-06-01
dc.description.abstractIn this paper we study topological structural stability for a family of nonlinear semigroups Th(·) on Banach space Xh depending on the parameter h. Our results shows the robustness of the internal dynamics and characterization of global attractors for projected Banach spaces, generalizing previous results for small perturbations of partial differential equations. We apply the results to an abstract semilinear equation with Dumbbell type domains and to an abstract evolution problem discretized by the finite element method.en
dc.description.affiliationInstituto de Ciências Matemáticas e de Computação Campus de São Carlos Universidade de São Paulo
dc.description.affiliationDepartamento de Matemática IBILCE Universidade Estadual Paulista (UNESP), São José do Rio Preto
dc.description.affiliationDepartamento de Ecuaciones Diferenciales y Análisis Numérico Universidad de Sevilla (US)
dc.description.affiliationUnespDepartamento de Matemática IBILCE Universidade Estadual Paulista (UNESP), São José do Rio Preto
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConsejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía
dc.description.sponsorshipSecretaría de Estado de Investigación, Desarrollo e Innovación
dc.description.sponsorshipIdFAPESP: 09/08435-0
dc.description.sponsorshipIdFAPESP: 2013/21155-2
dc.description.sponsorshipIdFAPESP: 2014/02899-3
dc.description.sponsorshipIdFAPESP: 2014/19915-1
dc.description.sponsorshipIdConsejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía: FQM-1492
dc.description.sponsorshipIdSecretaría de Estado de Investigación, Desarrollo e Innovación: MTM2015-63723-P
dc.format.extent687-718
dc.identifierhttp://dx.doi.org/10.1007/s10884-016-9567-x
dc.identifier.citationJournal of Dynamics and Differential Equations, v. 30, n. 2, p. 687-718, 2018.
dc.identifier.doi10.1007/s10884-016-9567-x
dc.identifier.file2-s2.0-85007492387.pdf
dc.identifier.issn1572-9222
dc.identifier.issn1040-7294
dc.identifier.scopus2-s2.0-85007492387
dc.identifier.urihttp://hdl.handle.net/11449/174010
dc.language.isoeng
dc.relation.ispartofJournal of Dynamics and Differential Equations
dc.relation.ispartofsjr1,208
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAttractors
dc.subjectDumbbell domains
dc.subjectGradient semigroups
dc.subjectStructural stability
dc.titleTopological Structural Stability of Partial Differential Equations on Projected Spacesen
dc.typeArtigo
dspace.entity.typePublication
unesp.author.orcid0000-0002-8765-0764[3]
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