Remarks on non controllability of the heat equation with memory
Remarks on non controllability of the heat equation with memory
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DOI：
10.1051/cocv/2012013
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
S. Guerrero;O. Y. Imanuvilov
中科院分区：
文献类型：
--
作者：
S. Guerrero;O. Y. Imanuvilov
本文利用边界控制的方法讨论了带记忆项的热方程的零能控性问题。对于每个正的最终时刻T，当控制作用于整个边界时，我们证明了存在一组初始条件使得零能控性失效。
In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls. For each positive final time T and when the control is acting on the whole boundary, we prove that there exists a set of initial conditions such that the null controllability property fails.