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A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions

Published 15 Jul 2014 in math.AP and math.OC | (1407.3916v2)

Abstract: 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

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