| dc.contributor.author | Casas Rentería, Eduardo | |
| dc.contributor.author | Kunisch, Karl | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2014-05-05T13:18:57Z | |
| dc.date.available | 2014-05-05T13:18:57Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 1095-7138 | |
| dc.identifier.issn | 0363-0129 | |
| dc.identifier.other | MTM2011-22711 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10902/4583 | |
| dc.description.abstract | Optimal control problems in measure spaces governed by semilinear elliptic equations are considered. First order optimality conditions are derived and structural properties of their solutions, in particular sparsity, are discussed. Necessary and sufficient second order optimality conditions are obtained as well. On the basis of the sufficient conditions, stability of the solutions is analyzed. Highly nonlinear terms can be incorporated by utilizing an L∞(Ω) regularity result for solutions of the first order necessary optimality conditions. | es_ES |
| dc.description.sponsorship | This author’s research was supported by Spanish Ministerio de Economía y Competitividad under
project MTM2011-22711. | es_ES |
| dc.format.extent | 26 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Society for Industrial and Applied Mathematics | es_ES |
| dc.rights | © 2014 Society for Industrial and Applied Mathematics | es_ES |
| dc.source | Siam Journal on Control and Optimization, 2014, 52(1), 339-364 | es_ES |
| dc.subject.other | Measure controls | es_ES |
| dc.subject.other | Optimal control | es_ES |
| dc.subject.other | Sparsity | es_ES |
| dc.subject.other | Semilinear elliptic equation | es_ES |
| dc.subject.other | First and second order optimality conditions | es_ES |
| dc.subject.other | Stability analysis | es_ES |
| dc.title | Optimal control of semilinear elliptic equations in measure spaces | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1137/13092188X | |
| dc.type.version | acceptedVersion | es_ES |
