Volume 16, Number 2, April-June 2010
|Page(s)||247 - 274|
|Published online||10 February 2009|
Unique continuation principle for systems of parabolic equations
Département de Mathématiques, Université de Versailles Saint Quentin, 45 avenue des États-Unis, 78035 Versailles Cedex, France. firstname.lastname@example.org
2 Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, C.U. 04510, D.F., México. email@example.com
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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