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Pré-Publication, Document De Travail Année : 2023

A spectral condition for the control of eigenfunctions of Baouendi-Grushin type operators

Luc Hillairet

Résumé

We study a concentration inequality for eigenfunctions of a Baouendi-Grushin operator on a cylinder or a torus. Using separation of variables, we prove that this inequality holds under a spectral multiplicity condition. Using Albert-Uhlenbeck's theory, we then prove that this spectral condition is generically true for such sub-elliptic operators.

Dates et versions

hal-04330556 , version 1 (08-12-2023)

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Mohammad Harakeh, Luc Hillairet. A spectral condition for the control of eigenfunctions of Baouendi-Grushin type operators. 2023. ⟨hal-04330556⟩
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