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Regularity of solutions for an optimal control problem with mixed control-state constraints |
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| Authors: | Arnd Rösch Daniel Wachsmuth |
| Institution: | 1. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstra?e 69, A-4040, Linz, Austria 2. Institut für Mathematik, Technische Universit?t Berlin, Str. des 17. Juni 136, D-10623, Berlin, Germany |
| Abstract: | 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. |
| Keywords: | Nonlinear programming optimal control semilinear elliptic equation mixed control-state constraint optimality conditions regularity of solutions |
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