| Issue |
ESAIM: COCV
Volume 16, Number 2, April-June 2010
|
|
|---|---|---|
| Page(s) | 247 - 274 | |
| DOI | https://doi.org/10.1051/cocv/2008077 | |
| Published online | 10 February 2009 | |
Unique continuation principle for systems of parabolic equations
1
Département de Mathématiques, Université de Versailles Saint Quentin, 45 avenue des États-Unis, 78035 Versailles Cedex, France. kavian@math.uvsq.fr
2
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, C.U. 04510, D.F., México. deteresa@matem.unam.mx
Received:
10
December
2007
Revised:
10
October
2008
In this paper we prove a unique continuation result for a cascade system of parabolic equations, in which the solution of the first equation is (partially) used as a forcing term for the second equation. As a consequence we prove the existence of ε-insensitizing controls for some parabolic equations when the control region and the observability region do not intersect.
Mathematics Subject Classification: 35B37 / 35B60 / 93C20
Key words: Unique continuation / approximate controllability / cascade systems of parabolic equations
© EDP Sciences, SMAI, 2009
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