New second order sufficient optimality conditions for state constrained parabolic control problems

We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the sense of L2(Q). Our results are valid for spatial...

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Detalles Bibliográficos
Autores: Casas Rentería, Eduardo|||0000-0002-8364-9416, Mateos Alberdi, Mariano, Rösch, Arnd
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/36381
Acceso en línea:https://hdl.handle.net/10902/36381
Access Level:acceso abierto
Palabra clave:Optimal control
Semilinear partial diferential equations
Optimality conditions
State constraints
Borel measures
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spelling New second order sufficient optimality conditions for state constrained parabolic control problemsCasas Rentería, Eduardo|||0000-0002-8364-9416Mateos Alberdi, MarianoRösch, ArndOptimal controlSemilinear partial diferential equationsOptimality conditionsState constraintsBorel measuresWe study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the sense of L2(Q). Our results are valid for spatial domains of dimension less than or equal to three.The firrst and second authors were partially supported by MCIN/ AEI/10.13039/501100011033 under research project PID2020-114837GB-I00.Taylor and Francis Ltd.Universidad de Cantabria20252025-05-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttps://hdl.handle.net/10902/36381Optimization, 2025, 74(7), 1551-1571reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/363812026-06-02T12:39:31Z
dc.title.none.fl_str_mv New second order sufficient optimality conditions for state constrained parabolic control problems
title New second order sufficient optimality conditions for state constrained parabolic control problems
spellingShingle New second order sufficient optimality conditions for state constrained parabolic control problems
Casas Rentería, Eduardo|||0000-0002-8364-9416
Optimal control
Semilinear partial diferential equations
Optimality conditions
State constraints
Borel measures
title_short New second order sufficient optimality conditions for state constrained parabolic control problems
title_full New second order sufficient optimality conditions for state constrained parabolic control problems
title_fullStr New second order sufficient optimality conditions for state constrained parabolic control problems
title_full_unstemmed New second order sufficient optimality conditions for state constrained parabolic control problems
title_sort New second order sufficient optimality conditions for state constrained parabolic control problems
dc.creator.none.fl_str_mv Casas Rentería, Eduardo|||0000-0002-8364-9416
Mateos Alberdi, Mariano
Rösch, Arnd
author Casas Rentería, Eduardo|||0000-0002-8364-9416
author_facet Casas Rentería, Eduardo|||0000-0002-8364-9416
Mateos Alberdi, Mariano
Rösch, Arnd
author_role author
author2 Mateos Alberdi, Mariano
Rösch, Arnd
author2_role author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Optimal control
Semilinear partial diferential equations
Optimality conditions
State constraints
Borel measures
topic Optimal control
Semilinear partial diferential equations
Optimality conditions
State constraints
Borel measures
description We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the sense of L2(Q). Our results are valid for spatial domains of dimension less than or equal to three.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10902/36381
url https://hdl.handle.net/10902/36381
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
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
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor and Francis Ltd.
publisher.none.fl_str_mv Taylor and Francis Ltd.
dc.source.none.fl_str_mv Optimization, 2025, 74(7), 1551-1571
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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