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Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces
dc.creator | Brze?niak Z. | spa |
dc.creator | Serrano, Rafael | spa |
dc.date.accessioned | 2020-05-26T00:01:00Z | |
dc.date.available | 2020-05-26T00:01:00Z | |
dc.date.created | 2013 | spa |
dc.description.abstract | We study an optimal relaxed control problem for a class of semilinear stochastic PDEs on Banach spaces perturbed by multiplicative noise and driven by a cylindrical Wiener process. The state equation is controlled through the nonlinear part of the drift coefficient which satisfies a dissipative-type condition with respect to the state variable. The main tools of our study are the factorization method for stochastic convolutions in UMD type-2 Banach spaces and certain compactness properties of the factorization operator and of the class of Young measures on Suslin metrizable control sets. © 2013 Society for Industrial and Applied Mathematics. | eng |
dc.format.mimetype | application/pdf | |
dc.identifier.doi | https://doi.org/10.1137/100788574 | |
dc.identifier.issn | 10957138 | |
dc.identifier.issn | 03630129 | |
dc.identifier.uri | https://repository.urosario.edu.co/handle/10336/23298 | |
dc.language.iso | eng | spa |
dc.relation.citationEndPage | 2703 | |
dc.relation.citationIssue | No. 3 | |
dc.relation.citationStartPage | 2664 | |
dc.relation.citationTitle | SIAM Journal on Control and Optimization | |
dc.relation.citationVolume | Vol. 51 | |
dc.relation.ispartof | SIAM Journal on Control and Optimization, ISSN:10957138, 03630129, Vol.51, No.3 (2013); pp. 2664-2703 | spa |
dc.relation.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884852919&doi=10.1137%2f100788574&partnerID=40&md5=cd5c40e888c4d097679b6c8ab3d8904a | spa |
dc.rights.accesRights | info:eu-repo/semantics/openAccess | |
dc.rights.acceso | Abierto (Texto Completo) | spa |
dc.source.instname | instname:Universidad del Rosario | spa |
dc.source.reponame | reponame:Repositorio Institucional EdocUR | spa |
dc.subject.keyword | Control set | spa |
dc.subject.keyword | Multiplicative cylindrical noise | spa |
dc.subject.keyword | Relaxed control | spa |
dc.subject.keyword | Stochastic PDE | spa |
dc.subject.keyword | Young measure | spa |
dc.subject.keyword | Convolution | spa |
dc.subject.keyword | Equations of state | spa |
dc.subject.keyword | Factorization | spa |
dc.subject.keyword | Nonlinear equations | spa |
dc.subject.keyword | Optimization | spa |
dc.subject.keyword | Stochastic systems | spa |
dc.subject.keyword | Banach spaces | spa |
dc.subject.keyword | Multiplicative cylindrical noise | spa |
dc.subject.keyword | Relaxed control | spa |
dc.subject.keyword | Stochastic convolution | spa |
dc.subject.keyword | Stochastic PDE | spa |
dc.subject.keyword | Suslin control set | spa |
dc.subject.keyword | UMD type-2 Banach spaces | spa |
dc.subject.keyword | Young measures | spa |
dc.title | Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces | spa |
dc.type | article | eng |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | |
dc.type.spa | Artículo | spa |