Periodic optimal control problems governed by semilinear parabolic equations with impulse control

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• 作者：Qishu YAN ^{yanqishu@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Pontryagin's maximum principle ; impulse control ; semilinear parabolic equation
• 刊名：Acta Mathematica Scientia
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：36
• 期：3
• 页码：847-862
• 全文大小：353 K

文摘

This paper is concerned with periodic optimal control problems governed by semilinear parabolic differential equations with impulse control. Pontryagin's maximum principle is derived. The proofs rely on a unique continuation estimate at one time for a linear parabolic equation.