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dc.contributor.authorCasas Rentería, Eduardo 
dc.contributor.authorMateos Alberdi, Mariano 
dc.contributor.authorRosch, Arnd
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2017-10-30T15:42:02Z
dc.date.available2017-10-30T15:42:02Z
dc.date.issued2017-09
dc.identifier.issn2156-8472
dc.identifier.issn2156-8499
dc.identifier.otherMTM2014-57531-Pes_ES
dc.identifier.urihttp://hdl.handle.net/10902/12165
dc.description.abstractWe study the finite element approximation of an optimal control problem governed by a semilinear partial differential equation and whose objective function includes a term promoting space sparsity of the solutions. We prove existence of solution in the absence of control bound constraints and provide the adequate second order sufficient conditions to obtain error estimates. Full discretization of the problem is carried out, and the sparsity properties of the discrete solutions, as well as error estimates, are obtained.es_ES
dc.description.sponsorshipThe first two authors were partially supported by the Spanish Ministerio de Economía y Competitividad under project MTM2014-57531-P.es_ES
dc.format.extent25 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, Mathematical Control and Related Fields, 2017, 7(3), 393-417 is available online at: http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=14341es_ES
dc.sourceMathematical Control and Related Fields, 2017, 7(3), 393-417es_ES
dc.subject.otherOptimal controles_ES
dc.subject.otherSemilinear parabolic equationses_ES
dc.subject.otherSparse solutionses_ES
dc.subject.otherFinite element approximationes_ES
dc.subject.otherError estimateses_ES
dc.titleFinite element approximation of sparse parabolic control problemses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.3934/mcrf.2017014es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.3934/mcrf.2017014
dc.type.versionacceptedVersiones_ES


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