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

2014, Colli, Pierluigi, Farshbaf Shaker, Mohammad Hassan, Gilardi, Gianni, Sprekels, Jürgen

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.