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dc.contributor.authorCasas Rentería, Eduardo 
dc.contributor.authorTröltzsch, Fredi 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2020-08-03T14:05:55Z
dc.date.issued2020-09
dc.identifier.issn2156-8472
dc.identifier.issn2156-8499
dc.identifier.otherMTM2014-57531-Pes_ES
dc.identifier.otherMTM2017-83185-Pes_ES
dc.identifier.urihttp://hdl.handle.net/10902/19005
dc.description.abstractA problem of sparse optimal control for the heat equation is considered, where pointwise bounds on the control and mixed pointwise control-state constraints are given. A standard quadratic tracking type functional is to be minimized that includes a Tikhonov regularization term and the L1-norm of the control accounting for the sparsity. Special emphasis is laid on existence and regularity of Lagrange multipliers for the mixed control-state constraints. To this aim, a duality theorem for linear programming problems in Hilbert spaces is proved and applied to the given optimal control problem.es_ES
dc.description.sponsorshipThe first author was partially supported by Spanish Ministerio de Economía, Industria y Competitividad under projects MTM2014-57531-P and MTM2017-83185-P. The second author was supported by the Collaborative Research Center SFB 910, TU Berlin, project B6.es_ES
dc.format.extent21 p.es_ES
dc.language.isoenges_ES
dc.publisherAmerican Institute of Mathematical Scienceses_ES
dc.rights© American Institute of Mathematical Sciences. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematical Control and Related Fields following peer review. The definitive publisher-authenticated version Casas, E., Tröltzsch, F. Sparse optimal control for the heat equation with mixed control-state constraints. Mathematical Control and Related Fields, 2020, 10 (3), 471-491. doi: 10.3934/mcrf.2020007 is available online at: https://www.aimsciences.org/article/doi/10.3934/mcrf.2020007es_ES
dc.sourceMathematical Control and Related Fields, 2020, 10(3), 471-491es_ES
dc.subject.otherHeat equationes_ES
dc.subject.otherOptimal controles_ES
dc.subject.otherSparse controles_ES
dc.subject.otherMixed control-state constraintses_ES
dc.titleSparse optimal control for the heat equation with mixed control-state constraintses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.3934/mcrf.2020007es_ES
dc.rights.accessRightsembargoedAccesses_ES
dc.identifier.DOI10.3934/mcrf.2020007
dc.type.versionacceptedVersiones_ES
dc.date.embargoEndDate2021-09-30


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