A Penalty Approach to Optimal Control of Allen-Cahn Variational Inequalities: MPEC-View

Zusammenfassung

A scalar Allen-Cahn-MPEC problem is considered and a penalization technique is applied to show the existence of an optimal control. We show that the stationary points of the penalized problems converge to some stationary points of the limit problem, which however are weaker than C-stationarity conditions.