Remarks on non controllability of the heat equation with memory
ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 1, pp. 288-300.

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.

DOI : 10.1051/cocv/2012013
Classification : 93B
Mots clés : controllability, heat equation with memory
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Guerrero, Sergio; Imanuvilov, Oleg Yurievich. Remarks on non controllability of the heat equation with memory. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 1, pp. 288-300. doi : 10.1051/cocv/2012013. http://archive.numdam.org/articles/10.1051/cocv/2012013/

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