On the null controllability of heat equation with memory

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• 作者：Qiang Tao^a ; ^{taoq060@126.com" class="auth_mail" title="E-mail the corresponding author} ; Hang Gao^b
• 关键词：Heat equation ; Memory ; Controllability ; Carleman inequality
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 August 2016
• 年：2016
• 卷：440
• 期：1
• 页码：1-13
• 全文大小：330 K

文摘

The aim of this article is to analyze the null controllability properties of the heat equations with memory. By a new Carleman inequality with weighted functions that do not vanish at t=0$t=0$, we prove the controllability for the system with a located internal controller under a condition on the kernel.