PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION

Detalhes bibliográficos
Autor(a) principal: Carbone, Vera Lucia
Data de Publicação: 2011
Outros Autores: Dias Nascimento, Marcelo Jose, Schiabel-Silva, Karina, da Silva, Ricardo Parreira [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://ejde.math.txstate.edu/
http://hdl.handle.net/11449/25140
Resumo: We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H(0)(2)(Omega) x L(2)(Omega) and has a family of pullback attractors which is upper-semicontinuous under small perturbations of the damping a.
id UNSP_2ca589cc33d28e2ad69c5363c93906b2
oai_identifier_str oai:repositorio.unesp.br:11449/25140
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATIONPullback attractornonautonomous systemplate equationupper-semicontinuityWe consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H(0)(2)(Omega) x L(2)(Omega) and has a family of pullback attractors which is upper-semicontinuous under small perturbations of the damping a.Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, BrazilIGCE UNESP, Dept Matemat, BR-13506700 Rio Claro, SP, BrazilIGCE UNESP, Dept Matemat, BR-13506700 Rio Claro, SP, BrazilTexas State UnivUniversidade Federal de São Carlos (UFSCar)Universidade Estadual Paulista (Unesp)Carbone, Vera LuciaDias Nascimento, Marcelo JoseSchiabel-Silva, Karinada Silva, Ricardo Parreira [UNESP]2013-09-30T18:51:21Z2014-05-20T14:17:09Z2013-09-30T18:51:21Z2014-05-20T14:17:09Z2011-06-20info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article13application/pdfhttp://ejde.math.txstate.edu/Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 13, 2011.1072-6691http://hdl.handle.net/11449/25140WOS:000299643500001WOS000299643500001.pdf1991983624732789Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectronic Journal of Differential Equations0.9440,538info:eu-repo/semantics/openAccess2023-10-24T06:08:05Zoai:repositorio.unesp.br:11449/25140Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:49:29.566741Repositório 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 Lucia
Pullback attractor
nonautonomous system
plate equation
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 Lucia
author_facet Carbone, Vera Lucia
Dias Nascimento, Marcelo Jose
Schiabel-Silva, Karina
da Silva, Ricardo Parreira [UNESP]
author_role author
author2 Dias Nascimento, Marcelo Jose
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 Lucia
Dias Nascimento, Marcelo Jose
Schiabel-Silva, Karina
da Silva, Ricardo Parreira [UNESP]
dc.subject.por.fl_str_mv Pullback attractor
nonautonomous system
plate equation
upper-semicontinuity
topic Pullback attractor
nonautonomous system
plate equation
upper-semicontinuity
description We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H(0)(2)(Omega) x L(2)(Omega) and has a family of pullback attractors which is upper-semicontinuous under small perturbations of the damping a.
publishDate 2011
dc.date.none.fl_str_mv 2011-06-20
2013-09-30T18:51:21Z
2013-09-30T18:51:21Z
2014-05-20T14:17:09Z
2014-05-20T14:17:09Z
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 http://ejde.math.txstate.edu/
Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 13, 2011.
1072-6691
http://hdl.handle.net/11449/25140
WOS:000299643500001
WOS000299643500001.pdf
1991983624732789
url http://ejde.math.txstate.edu/
http://hdl.handle.net/11449/25140
identifier_str_mv Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 13, 2011.
1072-6691
WOS:000299643500001
WOS000299643500001.pdf
1991983624732789
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Electronic Journal of Differential Equations
0.944
0,538
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 13
application/pdf
dc.publisher.none.fl_str_mv Texas State Univ
publisher.none.fl_str_mv Texas State Univ
dc.source.none.fl_str_mv Web of Science
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_ 1808128568439341056

Registros relacionados