Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary

In this paper we show how solutions of a wave equation with distributed damping near the boundary converge to solutions of a wave equation with boundary feedback damping. Sufficient conditions are given for the convergence of solutions to occur in the natural energy space.

Detalles Bibliográficos
Autores: Rodríguez Bernal, Aníbal, Jiménez Casas, Angela
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/88790
Acceso en línea:https://hdl.handle.net/20.500.14352/88790
Access Level:acceso abierto
Palabra clave:517.9
519.6
Boundary feedback
Singular perturbation
Localized damping
Hyperbolic problems
Concentrating integrals
Energy estimates
Matemáticas (Matemáticas)
Ecuaciones diferenciales
Análisis numérico
12 Matemáticas
1206.12 Ecuaciones Diferenciales Ordinarias
1206 Análisis Numérico
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oai_identifier_str oai:docta.ucm.es:20.500.14352/88790
network_acronym_str ES
network_name_str España
repository_id_str
spelling Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundaryRodríguez Bernal, AníbalJiménez Casas, Angela517.9519.6Boundary feedbackSingular perturbationLocalized dampingHyperbolic problemsConcentrating integralsEnergy estimatesMatemáticas (Matemáticas)Ecuaciones diferencialesAnálisis numérico12 Matemáticas1206.12 Ecuaciones Diferenciales Ordinarias1206 Análisis NuméricoIn this paper we show how solutions of a wave equation with distributed damping near the boundary converge to solutions of a wave equation with boundary feedback damping. Sufficient conditions are given for the convergence of solutions to occur in the natural energy space.American Institute of Mathematical SciencesUniversidad Complutense de Madrid20192019-05-0120192019-05-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/88790reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/887902026-06-02T12:44:21Z
dc.title.none.fl_str_mv Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
title Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
spellingShingle Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
Rodríguez Bernal, Aníbal
517.9
519.6
Boundary feedback
Singular perturbation
Localized damping
Hyperbolic problems
Concentrating integrals
Energy estimates
Matemáticas (Matemáticas)
Ecuaciones diferenciales
Análisis numérico
12 Matemáticas
1206.12 Ecuaciones Diferenciales Ordinarias
1206 Análisis Numérico
title_short Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
title_full Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
title_fullStr Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
title_full_unstemmed Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
title_sort Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
dc.creator.none.fl_str_mv Rodríguez Bernal, Aníbal
Jiménez Casas, Angela
author Rodríguez Bernal, Aníbal
author_facet Rodríguez Bernal, Aníbal
Jiménez Casas, Angela
author_role author
author2 Jiménez Casas, Angela
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.9
519.6
Boundary feedback
Singular perturbation
Localized damping
Hyperbolic problems
Concentrating integrals
Energy estimates
Matemáticas (Matemáticas)
Ecuaciones diferenciales
Análisis numérico
12 Matemáticas
1206.12 Ecuaciones Diferenciales Ordinarias
1206 Análisis Numérico
topic 517.9
519.6
Boundary feedback
Singular perturbation
Localized damping
Hyperbolic problems
Concentrating integrals
Energy estimates
Matemáticas (Matemáticas)
Ecuaciones diferenciales
Análisis numérico
12 Matemáticas
1206.12 Ecuaciones Diferenciales Ordinarias
1206 Análisis Numérico
description In this paper we show how solutions of a wave equation with distributed damping near the boundary converge to solutions of a wave equation with boundary feedback damping. Sufficient conditions are given for the convergence of solutions to occur in the natural energy space.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-05-01
2019
2019-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/88790
url https://hdl.handle.net/20.500.14352/88790
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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