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arxiv: 1410.8443 · v2 · pith:IR5F7JUDnew · submitted 2014-10-30 · 🧮 math.AP

Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition

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keywords boundarycontrolproblemcahn--hilliardconditionsdynamicequationsecond-order
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In this paper we establish second-order sufficient optimality conditions for a boundary control problem that has been introduced and studied by three of the authors in the preprint arXiv:1407.3916. This control problem regards the viscous Cahn--Hilliard equation with possibly singular potentials and dynamic boundary conditions.

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