| dc.contributor.author | Casas Rentería, Eduardo | |
| dc.contributor.author | Wachsmuth, Daniel | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2021-01-11T13:42:08Z | |
| dc.date.available | 2021-01-11T13:42:08Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0363-0129 | |
| dc.identifier.issn | 1095-7138 | |
| dc.identifier.other | MTM2017-83185-P | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10902/20289 | |
| dc.description.abstract | In this paper, we investigate optimal control problems subject to a semilinear elliptic partial differential equation. The cost functional contains a term that measures the size of the support of the control, which is the so-called L0-norm. We provide necessary and sufficient optimality conditions of second order. The sufficient second-order condition is obtained by analyzing a partially convexified problem. Interestingly, the structure of the problem yields second-order conditions with different bilinear forms for the necessary and for the sufficient conditions. | es_ES |
| dc.description.sponsorship | The work of the first author was partially supported by the Spanish Ministerio de Economía y Competitividad under research project MTM2017-83185-P. The work of the second author was partially supported by the German Research Foundation (DFG) under project grant Wa 3626/3-2. | es_ES |
| dc.format.extent | 22 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Society for Industrial and Applied Mathematics | es_ES |
| dc.rights | © Society for Industrial and Applied Mathematics | es_ES |
| dc.source | SIAM Journal on Control and Optimization, 2020, 58(6), 3486-3507 | es_ES |
| dc.subject.other | Optimal control | es_ES |
| dc.subject.other | Semilinear partial differential equation | es_ES |
| dc.subject.other | Optimality conditions | es_ES |
| dc.subject.other | Sparse controls | es_ES |
| dc.title | First and second order conditions for optimal control problems with an L0 term in the cost functional | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1137/20M1318377 | |
| dc.type.version | publishedVersion | es_ES |
