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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: Gisele.Mophou@univ-ag.fr; onakouli@univ-ag.fr
O. NAKOULIMA
Affiliation:
Département de Mathématiques et Informatique, Université des Antilles et de La Guyane, Campus Fouillole 97159 Pointe-à-Pitre Guadeloupe (FWI) email: Gisele.Mophou@univ-ag.fr; onakouli@univ-ag.fr
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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.

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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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