| Issue |
ESAIM: COCV
Volume 20, Number 1, January-March 2014
|
|
|---|---|---|
| Page(s) | 222 - 235 | |
| DOI | https://doi.org/10.1051/cocv/2013062 | |
| Published online | 27 January 2014 | |
Exact null internal controllability for the heat equation on unbounded convex domains∗
Al.I. Cuza University and Octav Mayer Institute of Mathematics
(Romanian Academy), Iaşi, Romania
vbarbu41@gmail.com
Received: 22 January 2013
Revised: 3 April 2013
The liner parabolic equation
with Neumann boundary condition on a convex open domain 𝒪 ⊂ ℝd with smooth boundary is exactly null controllable on each finite interval if 𝒪0 is an open subset of 𝒪 which contains a suitable neighbourhood of the recession cone of
. Here, F : ℝd → ℝd is a bounded, C1-continuous function, and F = ∇g, where g is convex and coercive.
Mathematics Subject Classification: 93B07 / 35K50 / 47D07
Key words: Parabolic equation / null controllability / convex set / Carleman inequality
© EDP Sciences, SMAI, 2014
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