Abstract
We consider joint Tikhonov and Lavrentiev regularization of control problems with pointwise control- and state-constraints. We derive error estimates for the error which is introduced by the Tikhonov regularization. With the help of these results we show that, if the solution of the unconstrained problem has no active constraints, the same holds for the Tikhonov regularized solution if the regularization parameter is small enough and a certain source condition is fulfilled.
Acknowledgements
We would like to thank Gerd and Daniel Wachsmuth for interesting discussions and helpful comments which improved the results in this article.