Speaker
Description
In this talk, we consider the introduction of a control variable into
the coefficients of the variational inequality constraint of an
optimal control problem. To this effect, we discuss optimality
conditions for a problem governed by an obstacle problem with control in the coefficients.
Since the obstacle problem acts as a complementarity constraint, it is known, that standard constraint qualifications do not apply. Further, we will utilize a regularization approach to address the lack of Gateaux differentiability inherent to the obstacle problem. The novelty of this talk will be the use of H-convergence techniques in conjunction with such a regularization approach to discuss optimality conditions for a problem subject to, coefficient controlled, variational inequality constraints.
