Pullback attractors for a singularly nonautonomous plate equation

Detalhes bibliográficos
Autor(a) principal: Carbone, Vera Lúcia
Data de Publicação: 2011
Outros Autores: Nascimento, Marcelo José Dias, Schiabel-Silva, Karina, da Silva, Ricardo Parreira [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/226429
Resumo: We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H2 0(Ω) × L2(Ω) and has a family of pullback attractors which is uppersemicontinuous under small perturbations of the damping a. © 2011 Texas State University - San Marcos.
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spelling Pullback attractors for a singularly nonautonomous plate equationNonautonomous systemPlate equationPullback attractorUpper-semicontinuityWe consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H2 0(Ω) × L2(Ω) and has a family of pullback attractors which is uppersemicontinuous under small perturbations of the damping a. © 2011 Texas State University - San Marcos.Departamento de Matemática Universidade Federal de São Carlos, 13565-905 São Carlos SPDepartamento de Matemática IGCE-UNESP, Caixa Postal 178, 13506-700 Rio Claro SPDepartamento de Matemática IGCE-UNESP, Caixa Postal 178, 13506-700 Rio Claro SPUniversidade Federal de São Carlos (UFSCar)Universidade Estadual Paulista (UNESP)Carbone, Vera LúciaNascimento, Marcelo José DiasSchiabel-Silva, Karinada Silva, Ricardo Parreira [UNESP]2022-04-28T22:49:10Z2022-04-28T22:49:10Z2011-07-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleElectronic Journal of Differential Equations, v. 2011.1072-6691http://hdl.handle.net/11449/2264292-s2.0-79960453572Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectronic Journal of Differential Equationsinfo:eu-repo/semantics/openAccess2022-04-28T22:49:10Zoai:repositorio.unesp.br:11449/226429Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:11:15.890281Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Pullback attractors for a singularly nonautonomous plate equation
title Pullback attractors for a singularly nonautonomous plate equation
spellingShingle Pullback attractors for a singularly nonautonomous plate equation
Carbone, Vera Lúcia
Nonautonomous system
Plate equation
Pullback attractor
Upper-semicontinuity
title_short Pullback attractors for a singularly nonautonomous plate equation
title_full Pullback attractors for a singularly nonautonomous plate equation
title_fullStr Pullback attractors for a singularly nonautonomous plate equation
title_full_unstemmed Pullback attractors for a singularly nonautonomous plate equation
title_sort Pullback attractors for a singularly nonautonomous plate equation
author Carbone, Vera Lúcia
author_facet Carbone, Vera Lúcia
Nascimento, Marcelo José Dias
Schiabel-Silva, Karina
da Silva, Ricardo Parreira [UNESP]
author_role author
author2 Nascimento, Marcelo José Dias
Schiabel-Silva, Karina
da Silva, Ricardo Parreira [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Federal de São Carlos (UFSCar)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Carbone, Vera Lúcia
Nascimento, Marcelo José Dias
Schiabel-Silva, Karina
da Silva, Ricardo Parreira [UNESP]
dc.subject.por.fl_str_mv Nonautonomous system
Plate equation
Pullback attractor
Upper-semicontinuity
topic Nonautonomous system
Plate equation
Pullback attractor
Upper-semicontinuity
description We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H2 0(Ω) × L2(Ω) and has a family of pullback attractors which is uppersemicontinuous under small perturbations of the damping a. © 2011 Texas State University - San Marcos.
publishDate 2011
dc.date.none.fl_str_mv 2011-07-22
2022-04-28T22:49:10Z
2022-04-28T22:49:10Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Electronic Journal of Differential Equations, v. 2011.
1072-6691
http://hdl.handle.net/11449/226429
2-s2.0-79960453572
identifier_str_mv Electronic Journal of Differential Equations, v. 2011.
1072-6691
2-s2.0-79960453572
url http://hdl.handle.net/11449/226429
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Electronic Journal of Differential Equations
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128328973942784

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