Speaker
Daniel Wachsmuth
Description
We consider optimal control problems where the control acts in the coefficient of the main part of the elliptic differential operator. We develop expansions of the cost functional with respect to perturbations of the control by characteristic functions. In comparison to standard Frechet derivatives in $L^\infty$, an additional term appears, which is related to the so-called polarization tensor. We prove that the Pontryagin maximum principle is necessary for local optimality. We discuss implications of the maximum principle. In particular, we show that certain classes of problems are unsolvable.
Author
Daniel Wachsmuth
