Evolution inclusions of the subdifferential type depending on a parameterEvolution inclusions of the subdifferential type depending on a parameter Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-291992enIn this paper we study evolution inclusions generated by time dependent convex subdifferentials, with the orientor field F depending on a parameter. Under reasonable hypotheses on the data, we show that the solution set S(λ) is both Vietoris and Hausdorff metric continuous in λ ∈ Λ. Using these results, we study the variational stability of a class of nonlinear parabolic optimal control problemsΔημοσίευση σε επιστημονικό περιοδικό http://creativecommons.org/licenses/by/4.0/COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROL33 437-449 Kandylakis Dimitrios Κανδυλακης Δημητριος Papageorgiou Nikolaos subdifferential compact type Vietoris topology Hausdorff metric parabolic optimal control problem