Optimal control for the obstacle problem with state constraints
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
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.
© EDP Sciences, ESAIM, 1998