Time periodic solutions of Cahn-Hilliard systems with dynamic boundary conditions

The existence problem for Cahn-Hilliard systems with dynamic boundary conditions and time periodic conditions is discussed. We apply the abstract theory of evolution equations with viscosity approach and the Schauder fixed point theorem in the level of approximate problems. One of the key points is the assumption for maximal monotone graphs with respect to their effective domains. Thanks to this, we obtain the existence result of periodic solutions by using the passage to the limit.