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
Format: Artikel
Sprache:eng
Schlagworte:
93B
Boundary value problems
Calculus of variations
Controllability
heat equation with memory
Mathematical models
Mathematics
Studies
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Zusammenfassung: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.
ISSN:1292-8119
1262-3377
DOI:10.1051/cocv/2012013