Time optimal controls of the Cahn–Hilliard equation with internal control |
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| Authors: | Jiashan Zheng |
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| Affiliation: | School of Mathematics, Beijing Institute of Technology, Beijing, China |
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| 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. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | time optimal control Cahn– Hilliard equation Carleman inequality optimality condition |
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