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approximate controllability.

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

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Remarques sur l'observabilité pour l'équation de Laplace
Kim-Dang Phung
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 9 / January 2003

Published online by Cambridge University Press:

15 September 2003, pp. 621-635

Print publication:

January 2003
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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.