Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain

Detalhes bibliográficos
Autor(a) principal: Ferreira, J.
Data de Publicação: 2004
Outros Autores: Santos, M. L., Matos, M. P., Bastos, W. D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.mcm.2004.06.008
http://hdl.handle.net/11449/31370
Resumo: In this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the Kirchhoff wave equation with nonlocal condition and weak dampingu(tt) - M (\\delU\\(2)(2)) Deltau + integral(0)(t) g(t - s)Deltau(.,s) ds + alphau(t) = 0, in (Q) over cap,where (Q) over cap is a noncylindrical domain of Rn+1 (n greater than or equal to 1) with the lateral boundary (&USigma;) over cap and alpha is a positive constant. (C) 2004 Elsevier Ltd. All rights reserved.
id UNSP_867aa47b7fc1e75798f09823785da7ec
oai_identifier_str oai:repositorio.unesp.br:11449/31370
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domainKirchhoff wave equationnoncylindrical domainexponential decayIn this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the Kirchhoff wave equation with nonlocal condition and weak dampingu(tt) - M (\\delU\\(2)(2)) Deltau + integral(0)(t) g(t - s)Deltau(.,s) ds + alphau(t) = 0, in (Q) over cap,where (Q) over cap is a noncylindrical domain of Rn+1 (n greater than or equal to 1) with the lateral boundary (&USigma;) over cap and alpha is a positive constant. (C) 2004 Elsevier Ltd. All rights reserved.UEM, DMA, BR-87020900 Maringa, Parana, BrazilFed Univ Para, Dept Math, BR-66075110 Para, BrazilIESAM, BR-1148 Belem, Para, BrazilUniv Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, BrazilUNESP, IBIlCE, Dept Matemat, BR-15040000 Sao Jose do Rio Preto, SP, BrazilUNESP, IBIlCE, Dept Matemat, BR-15040000 Sao Jose do Rio Preto, SP, BrazilElsevier B.V.Universidade Estadual de Maringá (UEM)Fed Univ ParaIESAMUniversidade Federal da Paraíba (UFPB)Universidade Estadual Paulista (Unesp)Ferreira, J.Santos, M. L.Matos, M. P.Bastos, W. D.2014-05-20T15:20:00Z2014-05-20T15:20:00Z2004-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1285-1295application/pdfhttp://dx.doi.org/10.1016/j.mcm.2004.06.008Mathematical and Computer Modelling. Oxford: Pergamon-Elsevier B.V., v. 39, n. 11-12, p. 1285-1295, 2004.0895-7177http://hdl.handle.net/11449/3137010.1016/j.mcm.2004.06.008WOS:000223244500008WOS000223244500008.pdf6294876435136954Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical and Computer Modellinginfo:eu-repo/semantics/openAccess2024-01-17T06:28:57Zoai:repositorio.unesp.br:11449/31370Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:17:50.506372Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
title Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
spellingShingle Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
Ferreira, J.
Kirchhoff wave equation
noncylindrical domain
exponential decay
title_short Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
title_full Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
title_fullStr Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
title_full_unstemmed Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
title_sort Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
author Ferreira, J.
author_facet Ferreira, J.
Santos, M. L.
Matos, M. P.
Bastos, W. D.
author_role author
author2 Santos, M. L.
Matos, M. P.
Bastos, W. D.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual de Maringá (UEM)
Fed Univ Para
IESAM
Universidade Federal da Paraíba (UFPB)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Ferreira, J.
Santos, M. L.
Matos, M. P.
Bastos, W. D.
dc.subject.por.fl_str_mv Kirchhoff wave equation
noncylindrical domain
exponential decay
topic Kirchhoff wave equation
noncylindrical domain
exponential decay
description In this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the Kirchhoff wave equation with nonlocal condition and weak dampingu(tt) - M (\\delU\\(2)(2)) Deltau + integral(0)(t) g(t - s)Deltau(.,s) ds + alphau(t) = 0, in (Q) over cap,where (Q) over cap is a noncylindrical domain of Rn+1 (n greater than or equal to 1) with the lateral boundary (&USigma;) over cap and alpha is a positive constant. (C) 2004 Elsevier Ltd. All rights reserved.
publishDate 2004
dc.date.none.fl_str_mv 2004-06-01
2014-05-20T15:20:00Z
2014-05-20T15:20:00Z
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://dx.doi.org/10.1016/j.mcm.2004.06.008
Mathematical and Computer Modelling. Oxford: Pergamon-Elsevier B.V., v. 39, n. 11-12, p. 1285-1295, 2004.
0895-7177
http://hdl.handle.net/11449/31370
10.1016/j.mcm.2004.06.008
WOS:000223244500008
WOS000223244500008.pdf
6294876435136954
url http://dx.doi.org/10.1016/j.mcm.2004.06.008
http://hdl.handle.net/11449/31370
identifier_str_mv Mathematical and Computer Modelling. Oxford: Pergamon-Elsevier B.V., v. 39, n. 11-12, p. 1285-1295, 2004.
0895-7177
10.1016/j.mcm.2004.06.008
WOS:000223244500008
WOS000223244500008.pdf
6294876435136954
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematical and Computer Modelling
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1285-1295
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
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_ 1808129504692928512

Registros relacionados