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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description	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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title	An optimal spectral inequality for degenerate operators
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