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

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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.

Original language	English
Pages (from-to)	257-272
Number of pages	16
Journal	Journal of Dynamical and Control Systems
Volume	21
Issue number	2
DOIs	https://doi.org/10.1007/s10883-014-9259-y
Publication status	Published - Apr 2015

Keywords

Cahn–Hilliard equation
Optimal control
Optimality condition
State constraint

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10.1007/s10883-014-9259-y

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title = "Optimal Control Problem for Cahn–Hilliard Equations with State Constraint",

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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year = "2015",

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AU - Wang, Yifu

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KW - Cahn–Hilliard equation

KW - Optimal control

KW - Optimality condition

KW - State constraint

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EP - 272

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

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ER -

Optimal Control Problem for Cahn–Hilliard Equations with State Constraint

Abstract

Keywords

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