Optimal Control Problem for Cahn–Hilliard Equations with State Constraint
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- 作者：Jiashan Zheng ; Yifu Wang
- 关键词：Cahn–Hilliard equation ; Optimal control ; State constraint ; Optimality condition ; 35K58 ; 49J20 ; 49K30
- 刊名：Journal of Dynamical and Control Systems
- 出版年：2015
- 出版时间：April 2015
- 年：2015
- 卷：21
- 期：2
- 页码：257-272
- 全文大小：329 KB
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文摘
This paper is concerned with the state-constrained optimal control problem governed by Cahn–Hilliard equations. After showing the relationship between the control problem and its approximation, we derive the optimality conditions for an optimal control of our original problem by using the one of the approximate problems.