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Time optimal controls of the Cahn–Hilliard equation with internal control
Author(s) -
Zheng Jiashan
Publication year - 2014
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2135
Subject(s) - cahn–hilliard equation , optimal control , control (management) , mathematics , mathematical optimization , mathematical economics , computer science , control theory (sociology) , mathematical analysis , partial differential equation , artificial intelligence
Summary 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. Copyright © 2014 John Wiley & Sons, Ltd.