Resumen de Regularity of solutions for an optimal control problem with mixed control-state constraints

Arnd Rösch, Daniel Wachsmuth

• A class of optimal control problems for a semilinear elliptic partial differential equation with mixed control-state constraints is considered. Existence results of an optimal control and necessary optimality conditions are stated. Moreover, a projection formula is derived that is equivalent to the necessary optimality conditions. As main result, the Lipschitz continuity of the optimal control is obtained.