WIAS Preprint No. 1480, (2010)

Regularization error estimates for semilinear elliptic optimal control problems with pointwise state and control constraints


  • Krumbiegel, Klaus
  • Neitzel, Ira
  • Rösch, Arnd

2010 Mathematics Subject Classification

  • 49K20 49M29


  • Optimal control, semilinear elliptic equation, state constraints, regularization, virtual control, second order sufficient conditions




In this paper a class of semilinear elliptic optimal control problem with pointwise state and control constraints is studied. A sufficient second order optimality condition and uniqueness of the dual variables are assumed for that problem. Sufficient second order optimality conditions are shown for regularized problems with small regularization parameter. Moreover, error estimates with respect to the regularization parameter are derived.

Appeared in

  • Comput. Optim. Appl., 52 (2012) pp. 181--207.

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