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Issue ESAIM: Proc.
Volume 4, 1998
Control and partial differential equations
Page(s) 7 - 19
DOI http://dx.doi.org/10.1051/proc:1998018

ESAIM: Proc., 1998, Vol. 4, pp. 7-19
DOI: 10.1051/proc:1998018

Optimal control for the obstacle problem with state constraints

M. Bergounioux1 and 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


Abstract
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


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