Optimal Control Problem for Cahn–Hilliard Equations with State Constraint

Jiashan Zheng; Yifu Wang

doi:10.1007/s10883-014-9259-y

Optimal Control Problem for Cahn–Hilliard Equations with State Constraint

Jiashan Zheng^*, Yifu Wang

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	257-272
页数	16
期刊	Journal of Dynamical and Control Systems
卷	21
期	2
DOI	https://doi.org/10.1007/s10883-014-9259-y
出版状态	已出版 - 4月 2015

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引用此

Zheng, J., & Wang, Y. (2015). Optimal Control Problem for Cahn–Hilliard Equations with State Constraint. Journal of Dynamical and Control Systems, 21(2), 257-272. https://doi.org/10.1007/s10883-014-9259-y

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abstract = "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.",

keywords = "Cahn–Hilliard equation, Optimal control, Optimality condition, State constraint",

author = "Jiashan Zheng and Yifu Wang",

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Optimal Control Problem for Cahn–Hilliard Equations with State Constraint

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