| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 68 | |
| Number of page(s) | 21 | |
| DOI | https://doi.org/10.1051/cocv/2025042 | |
| Published online | 19 August 2025 | |
A spectral condition for the control of eigenfunctions of Baouendi–Grushin type operators
Institut Denis Poisson, UMR 7013 Université d’Orléans-CNRS-Université de Tours,
Orléans,
France
* Corresponding author: luc.hillairet@univ-orleans.fr
Received:
7
December
2023
Accepted:
25
April
2025
We prove a generic simplicity result on the multiplicity of the eigenvalues of the generalized Baouendi–Grushin operator that implies the validity of concentration inequality for eigenfunctions.
Mathematics Subject Classification: 35P20 / 58J37 / 58J67
Key words: Baouendi–Grushin operator / generic spectral property / concentration inequality for eigenfunctions
© The authors. Published by EDP Sciences, SMAI 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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