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A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions

By Pierluigi Colli, Gianni Gilardi and Jürgen Sprekels

Abstract

A boundary control problem for the pure Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved. Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditionsComment: arXiv admin note: text overlap with arXiv:1407.391

Topics: Mathematics - Analysis of PDEs, Mathematics - Optimization and Control, 35K55 (35K50, 82C26)
Year: 2015
OAI identifier: oai:arXiv.org:1503.03213

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