On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

In this paper, we consider a Cahn-Hilliard equation characterized by the presence of a singular potential (e.g., of logarithmic type). We prove well-posedness results in the case when boundary conditions of dynamical type are assumed. From the physical point of view these conditions have been proposed in order to account for the interaction with walls in confined systems.