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Sentinels with given sensitivity

Published online by Cambridge University Press:  01 February 2008

G. MASSENGO MOPHOU  and
O. NAKOULIMA
G. MASSENGO MOPHOU
Affiliation:
Département de Mathématiques et Informatique, Université des Antilles et de La Guyane, Campus Fouillole 97159 Pointe-à-Pitre Guadeloupe (FWI) email: [email protected]; [email protected]
O. NAKOULIMA
Affiliation:
Département de Mathématiques et Informatique, Université des Antilles et de La Guyane, Campus Fouillole 97159 Pointe-à-Pitre Guadeloupe (FWI) email: [email protected]; [email protected]
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Abstract

This work is devoted to the identification of parameters in a problem of pollution modeled by a semi-linear parabolic equation. We use the notion of sentinels introduced by J. L. Lions, (Lions, J. L. 1992 Sentinelles pour les systèmes distribués à données incomplètes. Masson, Paris.) re-visited in a more general framework. We prove the existence of such sentinels by solving a problem of null controllability with constraint on the control. The key of our results is an observability inequality of Carleman type adapted to the constraint.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 19 , Issue 1 , February 2008 , pp. 21 - 40
Copyright
Copyright © Cambridge University Press 2008

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