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arXiv:1410.8443 [math.AP]AbstractReferencesReviewsResources

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

Pierluigi Colli, M. Hassan Farshbaf-Shaker, Gianni Gilardi, Jürgen Sprekels

Published 2014-10-30Version 1

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.

Comments: Key words: Cahn--Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, first and second order optimality conditions, adjoint state system. arXiv admin note: text overlap with arXiv:1212.2359
Categories: math.AP
Subjects: 35K55, 35K50, 82C26
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arXiv:1407.3916 [math.AP] (Published 2014-07-15, updated 2015-02-06)
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