Optimal control of a quasi-variational obstacle problem |
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| Authors: | Samir Adly Maïtine Bergounioux Mohamed Ait Mansour |
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| Affiliation: | 1.XLIM UMR-CNRS 6172,Université de Limoges,Limoges,France;2.UMR 6628-MAPMO, Fédération Denis Poisson,Université d’Orléans,Orléans Cedex 2,France;3.Faculté Poly-Disciplinaire,Safi,Morocco |
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| Abstract: | 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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