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Remarques sur l'observabilité pour l'équation de Laplace

Published online by Cambridge University Press:  15 September 2003

Kim-Dang Phung
Kim-Dang Phung*
Affiliation:
17 rue Léonard Mafrand, 92320 Châtillon, France; phung@cmla.ens-cachan.fr.
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Abstract

We consider the Laplace equation in a smooth bounded domain. We prove logarithmic estimates, in the sense of John [5] of solutions on a part of the boundary or of the domain without known boundary conditions. These results are established by employing Carleman estimates and techniques that we borrow from the works of Robbiano [8,11]. Also, we establish an estimate on the cost of an approximate control for an elliptic model equation.

Keywords

Laplace equationobservabilityCarleman inequalitiesapproximate controllability.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 621 - 635
Copyright
© EDP Sciences, SMAI, 2003

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References

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