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.

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Maïtine Bergounioux

Département de Mathématiques, UMR. 6628 - Université d’Orléans, B.P. 6759 - 45067 Orléans Cedex 2, France.

Helmut Dietrich

Institute of Optimization and Stochastics, Martin-Luther-University of Halle-Wittenberg, 06099 Halle, Germany

M. Bergounioux, H. Dietrich. “Optimal Control of Problems Governed by Obstacle Type Variational Inequalities: a Dual Regularization-Penalization Approach.” Journal of Convex Analysis 5 (1998), No. 2, 329–351. https://doi.org/10.68381/jca05-22