Geodesic
Optimal control for the obstacle problem with state constraints
M. Bergounioux1 ; D. Tiba2
1 UMR-CNRS 6628, Université d'Orléans, U.F.R. Sciences, B.P. 6759, F-45067 Orléans Cedex 2, France
2 Institute for Mathematics, Romanian Academy of Sciences, 70700 Bucuresti P.O.Box 1-764, Romania
ESAIM. Proceedings, Tome 4 (1998), pp. 7-19.

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In this paper we investigate optimal control problems governed by elliptic variational inequalities of the obstacle type. We show how to obtain optimality conditions for a relaxed problem with or without state constraints. Then we present the optimality system related to the original problem with state constraints, using a generalized derivative.
DOI : 10.1051/proc:1998018

M. Bergounioux 1 ; D. Tiba 2

1 UMR-CNRS 6628, Université d'Orléans, U.F.R. Sciences, B.P. 6759, F-45067 Orléans Cedex 2, France
2 Institute for Mathematics, Romanian Academy of Sciences, 70700 Bucuresti P.O.Box 1-764, Romania 
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     author = {M. Bergounioux and D. Tiba},
     title = {Optimal control for the obstacle problem with state constraints},
     journal = {ESAIM. Proceedings},
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M. Bergounioux; D. Tiba. Optimal control for the obstacle problem with state constraints. ESAIM. Proceedings, Tome 4 (1998), pp. 7-19. doi : 10.1051/proc:1998018. http://geodesic.mathdoc.fr/articles/10.1051/proc:1998018/

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