Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions

[EN] In this work, we provide a full characterization of well-posedness in vector-valued Holder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore-Gibson-Thompson equation with memory using operator-valued C-alpha-Fourier multipliers. We illustrate our r...

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Detalles Bibliográficos
Autor: Murillo Arcila, Marina
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/199846
Acceso en línea:https://riunet.upv.es/handle/10251/199846
Access Level:acceso abierto
Palabra clave:C-alpha-well posedness
Dirichlet Laplacian
Fourier multipliers
Fourth-order Moore-Gibson-Thompson equation
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spelling Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functionsMurillo Arcila, MarinaC-alpha-well posednessDirichlet LaplacianFourier multipliersFourth-order Moore-Gibson-Thompson equation[EN] In this work, we provide a full characterization of well-posedness in vector-valued Holder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore-Gibson-Thompson equation with memory using operator-valued C-alpha-Fourier multipliers. We illustrate our results by providing an example based on the fourth order Moore-Gibson-Thompson equation with Dirichlet boundary conditions.The author is supported by Ministerio de Ciencia e Innovación MCIN/AEI/10.13039/501100011033 and Project PID2019-105011GB-I00 and by Generalitat Valenciana, Project PROMETEU/2021/070.John Wiley & SonsGeneralitat ValencianaAgencia Estatal de InvestigaciónMinisterio de Ciencia e InnovaciónUniversitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20232023-01-30journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/199846reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105011GB-I00 DINAMICA DE OPERADORESGeneralitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2021%2F070open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1998462026-06-13T07:49:27Z
dc.title.none.fl_str_mv Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
title Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
spellingShingle Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
Murillo Arcila, Marina
C-alpha-well posedness
Dirichlet Laplacian
Fourier multipliers
Fourth-order Moore-Gibson-Thompson equation
title_short Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
title_full Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
title_fullStr Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
title_full_unstemmed Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
title_sort Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
dc.creator.none.fl_str_mv Murillo Arcila, Marina
author Murillo Arcila, Marina
author_facet Murillo Arcila, Marina
author_role author
dc.contributor.none.fl_str_mv Generalitat Valenciana
Agencia Estatal de Investigación
Ministerio de Ciencia e Innovación
Universitat Politècnica de València
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv C-alpha-well posedness
Dirichlet Laplacian
Fourier multipliers
Fourth-order Moore-Gibson-Thompson equation
topic C-alpha-well posedness
Dirichlet Laplacian
Fourier multipliers
Fourth-order Moore-Gibson-Thompson equation
description [EN] In this work, we provide a full characterization of well-posedness in vector-valued Holder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore-Gibson-Thompson equation with memory using operator-valued C-alpha-Fourier multipliers. We illustrate our results by providing an example based on the fourth order Moore-Gibson-Thompson equation with Dirichlet boundary conditions.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-30
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/199846
url https://riunet.upv.es/handle/10251/199846
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105011GB-I00 DINAMICA DE OPERADORES
Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEO%2F2021%2F070
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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