A spectral inequality for degenerated operators and applications
Analysis of PDEs
2018-03-21 v1
Abstract
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerated one dimensional elliptic operator and show how it can be used to impulse control and finite time stabilization for a degenerated parabolic equation. R{\'e}sum{\'e} .-Dans cet article, on s'int{\'e}r{\`e}ss{\`e} a l'in{\'e}galit{\'e} spectrale de type Lebeau-Robbiano sur la somme de fonctions propres pour une famille d'op{\'e}rateurs d{\'e}g{\'e}n{\'e}r{\'e}s. Les applications sont donn{\'e}es en th{\'e}orie du contr{\^o}le comme le contr{\^o}le impulsionnel et la stabilisation en temps fini.
Keywords
Cite
@article{arxiv.1803.07296,
title = {A spectral inequality for degenerated operators and applications},
author = {Rémi Buffe and Kim Dang Phung},
journal= {arXiv preprint arXiv:1803.07296},
year = {2018}
}