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Remarks on non controllability of the heat equation withmemory∗∗∗

Published online by Cambridge University Press:  12 June 2012

Sergio Guerrero  and
Oleg Yurievich Imanuvilov
Sergio Guerrero
Affiliation:
Université Pierre et Marie Curie – Paris 6, UMR 7598 Laboratoire Jacques-Louis Lions, 75005 Paris, France. guerrero@ann.jussieu.fr
Oleg Yurievich Imanuvilov
Affiliation:
Department of Mathematics, Colorado State University, 101 Weber Building, Fort Collins, 80523-1874 CO, USA; oleg@math.colostate.edu
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Abstract

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.

Keywords

Controllabilityheat equation with memory
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 1 , January 2013 , pp. 288 - 300
Copyright
© EDP Sciences, SMAI, 2012

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References

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