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cascade systems of parabolic equations

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Unique continuation principle for systemsof parabolic equations
Otared Kavian, Luz de Teresa
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 16 / Issue 2 / April 2010

Published online by Cambridge University Press:

10 February 2009, pp. 247-274

Print publication:

April 2010
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In this paper we prove a unique continuationresult for a cascade system of parabolic equations, in which the solution of the firstequation is (partially) used as a forcing term for the second equation. As aconsequence we prove the existence of ε-insensitizing controls for someparabolic equations when the control region and the observability region do not intersect.