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dc.contributor.author
Joseph Frédéric, Bonnans  
dc.contributor.author
Gianatti, Justina  
dc.date.available
2023-01-27T15:35:28Z  
dc.date.issued
2020-07  
dc.identifier.citation
Joseph Frédéric, Bonnans; Gianatti, Justina; Optimal control of state constrained age-structured problems; Society for Industrial and Applied Mathematics; Siam Journal On Control And Optimization; 58; 4; 7-2020; 2206-2235  
dc.identifier.issn
0363-0129  
dc.identifier.uri
http://hdl.handle.net/11336/185946  
dc.description.abstract
The aim of this work is to study an optimal control problem with state constraints where the state is given by an age-structured, abstract parabolic differential equation. We prove the existence and uniqueness of solution for the state equation and provide first and second parabolic estimates. We analyze the differentiability of the cost function and, based on the general theory of Lagrange multipliers, we give a first order optimality condition. We also define and analyze the regularity of the costate.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Society for Industrial and Applied Mathematics  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ABSTRACT PARABOLIC EQUATIONS  
dc.subject
AGE-STRUCTURED SYSTEMS  
dc.subject
OPTIMAL CONTROL  
dc.subject
STATE CONSTRAINTS  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Optimal control of state constrained age-structured problems  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-01-26T17:26:39Z  
dc.journal.volume
58  
dc.journal.number
4  
dc.journal.pagination
2206-2235  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Filadelfia  
dc.description.fil
Fil: Joseph Frédéric, Bonnans. Institut National de Recherche en Informatique et en Automatique; Francia  
dc.description.fil
Fil: Gianatti, Justina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina  
dc.journal.title
Siam Journal On Control And Optimization  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1137/19M1271257  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://epubs.siam.org/doi/10.1137/19M1271257  

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