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arXiv · 1407.3916

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

Pierluigi Colli·Gianni Gilardi·Jürgen Sprekels
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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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Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels. 2015-02-06. A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. https://arxiv.org/abs/1407.3916

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