Optimal Control of Problems Governed by Obstacle Type Variational Inequalities : a Dual Regularization-Penalization Approach

Maïtine Bergounioux (1) , Helmut Dietrich (2)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 Martin Luther Universität

In this paper we investigate optimal control problems governed by variational inequalities. We give optimality conditions under classical assumptions using a dual regularized functional to interpret the Variational Inequality.

Mots clés: Penalization Methods; Variational Inequalities; Optimal Control; Dual Methods; Penalization Methods.

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux, Helmut Dietrich. Optimal Control of Problems Governed by Obstacle Type Variational Inequalities : a Dual Regularization-Penalization Approach. Journal of Convex Analysis, 1998, 5 no 2, pp. 1-22. ⟨hal-00023017⟩