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SECOND-ORDER ANALYSIS OF A BOUNDARY CONTROL PROBLEM FOR THE VISCOUS CAHN-HILLIARD EQUATION WITH DYNAMIC BOUNDARY CONDITION *

Pierluigi Colli, Hassan Mohammad, Farshbaf-Shaker, Gianni Gilardi, Jürgen Sprekels
2015 Ann. Acad. Rom. Sci. Ser. Math. Appl   unpublished

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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. MSC: 49J20 (Primary), 49J50, 49K20 (Secondary) * keywords: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control,
more » ... st and second order opti-mality conditions, adjoint state system.
fatcat:iz7rxnup7rbhtk67zkqunkcigu
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Pierluigi Colli, Hassan Mohammad, Farshbaf-Shaker, Gianni Gilardi, Jürgen Sprekels. "SECOND-ORDER ANALYSIS OF A BOUNDARY CONTROL PROBLEM FOR THE VISCOUS CAHN-HILLIARD EQUATION WITH DYNAMIC BOUNDARY CONDITION *." Ann. Acad. Rom. Sci. Ser. Math. Appl (2015)