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arxiv: 1407.3916 · v2 · pith:7GAQ7FUXnew · submitted 2014-07-15 · 🧮 math.AP · math.OC

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

classification 🧮 math.AP math.OC
keywords boundaryconditionscahn-hilliardcontroldynamicequationoptimalitypotentials
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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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