Optimal control of unilateral obstacle problem with a source term

Radouen Ghanem (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in $H^{2}$. We use an approximate technique to introduce a family of problems governed by variational equations. We prove optimal solutions existence and give necessary optimality conditions.

Mots clés: Optimal control; obstacle problem; variational inequality

Domaines: Optimisation et contrôle [math.OC]

Radouen Ghanem. Optimal control of unilateral obstacle problem with a source term. 2008. ⟨hal-00263800⟩