| Issue |
ESAIM: COCV
Volume 12, Number 3, July 2006
|
|
|---|---|---|
| Page(s) | 442 - 465 | |
| DOI | https://doi.org/10.1051/cocv:2006010 | |
| Published online | 20 June 2006 | |
Null controllability of the heat equation with boundary Fourier conditions: the linear case
1
Dpto. E.D.A.N., Universidad de Sevilla, Aptdo. 1160, 41080
Sevilla, Spain; cara@us.es; manoloburgos@us.es; sguerrero@us.es
2
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, boîte courrier 187, 75035 Cedex 05, Paris, France; guerrero@ann.jussieu.fr
3
Laboratoire de Mathématiques Appliquées,
Université de Versailles, St. Quentin, 45 avenue des États-Unis, 78035
Versailles, France; jppuel@cmapx.polytechnique.fr
Received:
17
February
2005
Revised:
2
April
2005
In this paper, we prove the global null controllability of
the linear heat equation completed with linear Fourier
boundary conditions of the form
.
We consider distributed controls with support in a small set and
nonregular coefficients 
.
For the proof of null controllability, a crucial tool will be a new
Carleman estimate for the weak solutions of the classical heat
equation with
nonhomogeneous Neumann boundary conditions.
Mathematics Subject Classification: 35K20 / 93B05
Key words: Controllability / heat equation / Fourier conditions.
© EDP Sciences, SMAI, 2006
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