[Une inégalité spectrale pour les opérateurs dégénérés et applications]
Dans cet article, on s'intéresse à l'inégalité spectrale de type Lebeau–Robbiano sur la somme de fonctions propres pour une famille d'opérateurs dégénérés. Les applications sont données en théorie du contrôle, comme le contrôle impulsionnel et la stabilisation en temps fini.
In this paper, we establish a Lebeau–Robbiano spectral inequality for a degenerate one-dimensional elliptic operator, and we show how it can be used to study impulse control and finite-time stabilization for a degenerate parabolic equation.
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@article{CRMATH_2018__356_11-12_1131_0,
author = {Buffe, R\'emi and Phung, Kim Dang},
title = {A spectral inequality for degenerate operators and applications},
journal = {Comptes Rendus. Math\'ematique},
pages = {1131--1155},
publisher = {Elsevier},
volume = {356},
number = {11-12},
year = {2018},
doi = {10.1016/j.crma.2018.11.004},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.11.004/}
}
TY - JOUR AU - Buffe, Rémi AU - Phung, Kim Dang TI - A spectral inequality for degenerate operators and applications JO - Comptes Rendus. Mathématique PY - 2018 SP - 1131 EP - 1155 VL - 356 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.11.004/ DO - 10.1016/j.crma.2018.11.004 LA - en ID - CRMATH_2018__356_11-12_1131_0 ER -
%0 Journal Article %A Buffe, Rémi %A Phung, Kim Dang %T A spectral inequality for degenerate operators and applications %J Comptes Rendus. Mathématique %D 2018 %P 1131-1155 %V 356 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.11.004/ %R 10.1016/j.crma.2018.11.004 %G en %F CRMATH_2018__356_11-12_1131_0
Buffe, Rémi; Phung, Kim Dang. A spectral inequality for degenerate operators and applications. Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1131-1155. doi : 10.1016/j.crma.2018.11.004. http://archive.numdam.org/articles/10.1016/j.crma.2018.11.004/
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