| dc.contributor.author | Casas Rentería, Eduardo | |
| dc.contributor.author | Tröltzsch, Fredi | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2020-08-03T14:05:55Z | |
| dc.date.available | 2021-09-30T02:45:17Z | |
| dc.date.issued | 2020-09 | |
| dc.identifier.issn | 2156-8472 | |
| dc.identifier.issn | 2156-8499 | |
| dc.identifier.other | MTM2014-57531-P | es_ES |
| dc.identifier.other | MTM2017-83185-P | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10902/19005 | |
| dc.description.abstract | A 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.sponsorship | The 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.extent | 21 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 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.2020007 | es_ES |
| dc.source | Mathematical Control and Related Fields, 2020, 10(3), 471-491 | es_ES |
| dc.subject.other | Heat equation | es_ES |
| dc.subject.other | Optimal control | es_ES |
| dc.subject.other | Sparse control | es_ES |
| dc.subject.other | Mixed control-state constraints | es_ES |
| dc.title | Sparse optimal control for the heat equation with mixed control-state constraints | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.3934/mcrf.2020007 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.3934/mcrf.2020007 | |
| dc.type.version | acceptedVersion | es_ES |
