On the Cahn-Hilliard equation with dynamic boundary conditions and a   dominating boundary potential
  The Cahn-Hilliard and viscous Cahn-Hilliard equations with singular and possibly nonsmooth potentials and dynamic boundary condition are considered and some well-posedness and regularity results are proved. Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, irregular potentials, well-posedness. 
Pierluigi Colli, Gianni Gilardi, J\"urgen Sprekels
math.AP