A spectral inequality for degenerated operators and applications

Rémi Buffe; Kim Dang Phung

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arXiv · 1803.07296

A spectral inequality for degenerated operators and applications

Rémi Buffe·Kim Dang Phung

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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.

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Rémi Buffe, Kim Dang Phung. 2018-03-20. A spectral inequality for degenerated operators and applications. https://arxiv.org/abs/1803.07296

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