Université Pierre et Marie Curie – Paris 6, UMR 7598 Laboratoire
Jacques-Louis Lions, 75005
2 Department of Mathematics, Colorado State University, 101 Weber Building, Fort Collins, 80523-1874 CO, USA
Revised: 26 July 2011
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.
Mathematics Subject Classification: 93B
Key words: Controllability / heat equation with memory
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