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| HAL: hal-00092013, version 1 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2006-09-08) | v2 (2007-03-01) | v3 (2008-09-04) |
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| Optimal control of a quasi-variational obstacle problem |
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| Samir Adly 1Maïtine Bergounioux 2 |
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| (2006-09-07) |
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| We consider an optimal control where the state-control relation is given by a quasi-variational inequality, namely a generalized obstacle problem. We give an existence result for solutions to such a problem. The main tool is a stability result, based on the Mosco-convergence theory, that gives the weak closeness of the control-to-state operator. We end the paper with some examples. |
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| 1: | XLIM (XLIM) |
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CNRS : UMR6172 – Université de Limoges |
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| 2: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| DMI |
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| Subject | : | Mathematics/Optimization and Control |
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| Optimal contro – quasi-variational inequalities – Mosco convergence |
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| hal-00092013, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00092013 | |
| oai:hal.archives-ouvertes.fr:hal-00092013 | |
| From: Maïtine Bergounioux | |
| Submitted on: Thursday, 7 September 2006 21:20:04 | |
| Updated on: Friday, 8 September 2006 07:30:24 | |
