Remarques sur l'observabilité pour l'équation de Laplace
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 9, page 621-635
- ISSN: 1292-8119
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topPhung, Kim-Dang. "Remarques sur l'observabilité pour l'équation de Laplace." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 621-635. <http://eudml.org/doc/90714>.
@article{Phung2010,
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.
},
author = {Phung, Kim-Dang},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Laplace equation; observability; Carleman inequalities;
approximate controllability.; approximate controllability},
language = {eng},
month = {3},
pages = {621-635},
publisher = {EDP Sciences},
title = {Remarques sur l'observabilité pour l'équation de Laplace},
url = {http://eudml.org/doc/90714},
volume = {9},
year = {2010},
}
TY - JOUR
AU - Phung, Kim-Dang
TI - Remarques sur l'observabilité pour l'équation de Laplace
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 9
SP - 621
EP - 635
AB -
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.
LA - eng
KW - Laplace equation; observability; Carleman inequalities;
approximate controllability.; approximate controllability
UR - http://eudml.org/doc/90714
ER -
References
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- L. Robbiano, Fonction de coût et contrôle des solutions des équations hyperboliques. Asymptot. Anal.10 (1995) 95-115.
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