A spectral inequality for degenerated operators and applications
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\'esum\'e .-Dans cet article, on s'int\'er\`ess\`e a l'in\'egalit\'e spectrale de type Lebeau-Robbiano sur la somme de fonctions propres pour une famille d'op\'erateurs d\'eg\'en\'er\'es. Les applications sont donn\'ees en th\'eorie du contr\ole comme le contr\ole impulsionnel et la stabilisation en temps fini.
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