An optimal spectral inequality for degenerate operators - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles SIAM Journal on Control and Optimization Year : 2024

An optimal spectral inequality for degenerate operators

Abstract

In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application to null controllability on a measurable set in time for the degenerated heat equation is described.
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hal-04219477 , version 1 (27-09-2023)

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Rémi Buffe, Kim Dang Phung, Amine Slimani. An optimal spectral inequality for degenerate operators. SIAM Journal on Control and Optimization, 2024, ⟨10.48550/arXiv.2309.15491⟩. ⟨hal-04219477⟩
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