A boundary control problem for the viscous Cahn-Hilliard equation with   dynamic boundary conditions
  A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first order necessary conditions for optimality are proved.   Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditions, adjoint state system 
Pierluigi Colli, Gianni Gilardi, J\"urgen Sprekels
math.AP math.OC