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Dynamics of parabolic equations in domains with a small hole II. Continuity of the attractors

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dc.contributor.authorTavares–Lima, E. A. [UNESP]
dc.contributor.authorLozada-Cruz, G. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2025-04-29T18:35:48Z
dc.date.issued2024-06-25
dc.description.abstractIn this paper we study the asymptotic dynamics for a class of semilinear parabolic problems with Dirichlet boundary conditions in domains with a small hole of size proportional to a positive parameter ε. In other words, we prove that the family of attractors behaves continuously as ε→0. We will also provide the convergence rates in terms of the parameter.en
dc.description.affiliationDepartamento de Matemática IBILCE UNESP - Universidade Estadual Paulista, 15054-000 São José do Rio Preto
dc.description.affiliationUnespDepartamento de Matemática IBILCE UNESP - Universidade Estadual Paulista, 15054-000 São José do Rio Preto
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCAPES: 001
dc.description.sponsorshipIdFAPESP: 20/14075-6
dc.format.extent308-332
dc.identifierhttp://dx.doi.org/10.1016/j.jde.2024.04.003
dc.identifier.citationJournal of Differential Equations, v. 395, p. 308-332.
dc.identifier.doi10.1016/j.jde.2024.04.003
dc.identifier.issn1090-2732
dc.identifier.issn0022-0396
dc.identifier.scopus2-s2.0-85189779560
dc.identifier.urihttps://hdl.handle.net/11449/297975
dc.language.isoeng
dc.relation.ispartofJournal of Differential Equations
dc.sourceScopus
dc.subjectAttractors
dc.subjectDomain with hole
dc.subjectLower and upper semi-continuity
dc.subjectParabolic equations
dc.titleDynamics of parabolic equations in domains with a small hole II. Continuity of the attractorsen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0009-0009-6563-5748[1]
unesp.author.orcid0000-0003-2860-954X[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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