Time optimal controls of the Cahn‐Hilliard equation with internal control

Time optimal controls of the Cahn‐Hilliard equation with internal control

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Article ID: iaor201526441
Volume: 36
Issue: 4
Start Page Number: 566
End Page Number: 582
Publication Date: Jul 2015
Journal: Optimal Control Applications and Methods
Authors:
Keywords: optimization
Abstract:

This paper is concerned with the time optimal control problem governed by the internal controlled Cahn–Hilliard equation. We prove the existence of optimal controls. Moreover, we give necessary optimality conditions for an optimal control of our original problem by using the one of the approximate problems.

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