Remarks on non controllability of the heat equation with memory

Remarks on non controllability of the heat equation with memory

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 controlla...

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Veröffentlicht in:ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2013-01, Vol.19 (1), p.288-300
Hauptverfasser: Guerrero, Sergio, Imanuvilov, Oleg Yurievich
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Sprache:eng
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93B
Boundary value problems
Calculus of variations
Controllability
heat equation with memory
Mathematical models
Mathematics
Studies
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creator Guerrero, Sergio
Imanuvilov, Oleg Yurievich
description 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_str_mv 10.1051/cocv/2012013
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1262-3377
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subjects 93B
Boundary value problems
Calculus of variations
Controllability
heat equation with memory
Mathematical models
Mathematics
Studies
title Remarks on non controllability of the heat equation with memory
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