Derives second-order optimality conditions and quadratic growth results for Tikhonov-regularized optimal control of the obstacle problem, with reformulation to state-constrained Poisson control and three counterexamples.
Sufficient optimality conditions and semi-smooth Newton methods for optimal control of stationary variational inequalities
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On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem
Derives second-order optimality conditions and quadratic growth results for Tikhonov-regularized optimal control of the obstacle problem, with reformulation to state-constrained Poisson control and three counterexamples.