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Remarks on non controllability of the heat equation with memory

Sergio Guerrero; Oleg Yurievich Imanuvilov — 2013

ESAIM: Control, Optimisation and Calculus of Variations

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 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.

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