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

• Arnd Rösch ^[1] ; Daniel Wachsmuth ^[2]
  1. [1] Austrian Academy of Sciences

     Austrian Academy of Sciences

     Innere Stadt, Austria

     
  2. [2] Technical University of Berlin

     Technical University of Berlin

     Berlin, Stadt, Alemania

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 14, Nº. 2, 2006, págs. 263-278
• Idioma: inglés
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• Resumen

  • 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.