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Remarks on non controllability of the heat equation with memory∗∗∗

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 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.

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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