An optimal spectral inequality for degenerate operators

An optimal spectral inequality for degenerate operators

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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Veröffentlicht in:arXiv.org 2023-09
Hauptverfasser: Buffe, Rémi, Kim Dang Phung, Slimani, Amine
Format: Artikel
Sprache:eng
Schlagworte:
Thermodynamics
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Zusammenfassung: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.
ISSN:2331-8422