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heat equation with memory

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Remarks on non controllability of the heat equation withmemory ∗∗∗
Sergio Guerrero, Oleg Yurievich Imanuvilov
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 19 / Issue 1 / January 2013

Published online by Cambridge University Press:

12 June 2012, pp. 288-300

Print publication:

January 2013
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In this paper we deal with the null controllability problem for the heat equation with amemory term by means of boundary controls. For each positive final time Tand when the control is acting on the whole boundary, we prove that there exists a set ofinitial conditions such that the null controllability property fails.