Remarks on non controllability of the heat equation with memory
Sergio Guerrero; Oleg Yurievich Imanuvilov
ESAIM: Control, Optimisation and Calculus of Variations (2013)
- Volume: 19, Issue: 1, page 288-300
- ISSN: 1292-8119
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topGuerrero, Sergio, and Imanuvilov, Oleg Yurievich. "Remarks on non controllability of the heat equation with memory." ESAIM: Control, Optimisation and Calculus of Variations 19.1 (2013): 288-300. <http://eudml.org/doc/272784>.
@article{Guerrero2013,
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.},
author = {Guerrero, Sergio, Imanuvilov, Oleg Yurievich},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {controllability; heat equation with memory},
language = {eng},
number = {1},
pages = {288-300},
publisher = {EDP-Sciences},
title = {Remarks on non controllability of the heat equation with memory},
url = {http://eudml.org/doc/272784},
volume = {19},
year = {2013},
}
TY - JOUR
AU - Guerrero, Sergio
AU - Imanuvilov, Oleg Yurievich
TI - Remarks on non controllability of the heat equation with memory
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2013
PB - EDP-Sciences
VL - 19
IS - 1
SP - 288
EP - 300
AB - 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.
LA - eng
KW - controllability; heat equation with memory
UR - http://eudml.org/doc/272784
ER -
References
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- [6] J.-L. Lions and E. Magenes, Non-homogeneous boundary value problems and applications I, Translated from the French by P. Kenneth, edited by Springer-Verlag, New York, Heidelberg. Die Grundlehren der Mathematischen Wissenschaften. 181 (1972). Zbl0223.35039MR350177
- [7] D.L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions. SIAM Rev. 20 (1978) 639–739. Zbl0397.93001MR508380
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