dc.contributor.author | Casas Rentería, Eduardo | |
dc.contributor.author | Mateos Alberdi, Mariano | |
dc.contributor.author | Rosch, Arnd | |
dc.contributor.other | Universidad de Cantabria | es_ES |
dc.date.accessioned | 2017-10-30T15:42:02Z | |
dc.date.available | 2017-10-30T15:42:02Z | |
dc.date.issued | 2017-09 | |
dc.identifier.issn | 2156-8472 | |
dc.identifier.issn | 2156-8499 | |
dc.identifier.other | MTM2014-57531-P | es_ES |
dc.identifier.uri | http://hdl.handle.net/10902/12165 | |
dc.description.abstract | We 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.sponsorship | The first two authors were partially supported by the Spanish Ministerio de Economía y Competitividad under project MTM2014-57531-P. | es_ES |
dc.format.extent | 25 p. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | American Institute of Mathematical Sciences | es_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=14341 | es_ES |
dc.source | Mathematical Control and Related Fields, 2017, 7(3), 393-417 | es_ES |
dc.subject.other | Optimal control | es_ES |
dc.subject.other | Semilinear parabolic equations | es_ES |
dc.subject.other | Sparse solutions | es_ES |
dc.subject.other | Finite element approximation | es_ES |
dc.subject.other | Error estimates | es_ES |
dc.title | Finite element approximation of sparse parabolic control problems | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherVersion | https://doi.org/10.3934/mcrf.2017014 | es_ES |
dc.rights.accessRights | openAccess | es_ES |
dc.identifier.DOI | 10.3934/mcrf.2017014 | |
dc.type.version | acceptedVersion | es_ES |