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.
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.
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Rémi Buffe 1; Kim Dang Phung 2
@article{CRMATH_2018__356_11-12_1131_0, author = {R\'emi Buffe and Kim Dang Phung}, 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}, }
Rémi Buffe; Kim Dang Phung. A spectral inequality for degenerate operators and applications. Comptes Rendus. Mathématique, Volume 356 (2018) no. 11-12, pp. 1131-1155. doi : 10.1016/j.crma.2018.11.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.11.004/
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