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Unique continuation principle for systems of parabolic equations

Published online by Cambridge University Press:  10 February 2009

Otared Kavian  and
Luz de Teresa
Otared Kavian
Affiliation:
Département de Mathématiques, Université de Versailles Saint Quentin, 45 avenue des États-Unis, 78035 Versailles Cedex, France. [email protected]
Luz de Teresa
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, C.U. 04510, D.F., México. [email protected]
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Abstract

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.

Keywords

Unique continuationapproximate controllabilitycascade systems of parabolic equations
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 2 , April 2010 , pp. 247 - 274
Copyright
© EDP Sciences, SMAI, 2009

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References

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