| Issue |
ESAIM: COCV
Volume 11, Number 3, July 2005
|
|
|---|---|---|
| Page(s) | 426 - 448 | |
| DOI | https://doi.org/10.1051/cocv:2005013 | |
| Published online | 15 July 2005 | |
Null-controllability of some systems of parabolic type by one control force
1
Université de
Franche-Comté Département de Mathématiques
CNRS-UMR 6623
16 Route de
Gray, 25030 Besançon Cedex, France;
ammar@math.univ-fcomte.fr; dupaix@math.univ-fcomte.fr
2
Université de Provence, CMI - LATP
Technopôle Château-Gombert, 39 rue F. Joliot Curie, 13453
Marseille Cedex 13, France; assia@cmi.univ-mrs.fr
3
Université de Saint-Etienne, Équipe d'Analyse Numérique,
23 rue Paul MICHELON, 42023 Saint-Etienne Cedex 02, France; kostin@free.fr
Received:
3
March
2003
Revised:
17
May
2004
Revised:
14
October
2004
We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.
Mathematics Subject Classification: 93B05 / 93C20 / 93C25 / 35K90
Key words: Control / parabolic systems.
© EDP Sciences, SMAI, 2005
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