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

Academic Article
Publication Date:
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.
Iris type:
01.01 Articolo in rivista
Keywords:
Adjoint state system; Cahn-Hilliard equation; Dynamic boundary conditions; First and second order optimality conditions; Optimal control; Phase separation; Singular potentials
List of contributors:
Handle:
https://iris.cnr.it/handle/20.500.14243/316026
Published in:
ANNALS. SERIES ON SCIENCE OF MATHEMATICS
Journal