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.

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

P Colli;G Gilardi;
2015

Abstract

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.
2015
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Adjoint state system
Cahn-Hilliard equation
Dynamic boundary conditions
First and second order optimality conditions
Optimal control
Phase separation
Singular potentials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/316026
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