The Sensitivity of Parametric Evolution Inclusions Generated by Time Dependent Convex Subdifferentials

In this work we show that the solution set of a class of evolution inclusions of the subdifferential type converges in the Kuratowski sense under the assumption that the subdifferential operator converges in the resolvent sense and the perturbation term converges in the Lebesque-Bochner space L2(H). Using this result we study a multivalued parabolic boundary value problem.