Special Session 50: Evolution equations and inclusions with applications to control, mathematical modeling and mechanics
Contents
We consider a class of second order evolution subdifferential inclusions to which can be reduced some hemivariational inequalities. First we quote an existence result for such inclusions based on the theory of pseudomonotone operators. Next we formulate control problems and we present theorems concerning the existence of optimal solutions and their sensitivity under perturbations of state relations as well as the cost functionals. The sensitivity part, based on $\Gamma$-convergence theory, works when we are able to prove the Kuratowski-Painleve convergence of the solution sets for the perturbed state relations and simultaneously the appriopriate complementary $\Gamma$-convergence of the perturbed cost functionals to the unperturbed one.