A spectral condition for the control of eigenfunctions of Baouendi-Grushin type operators
Spectral Theory
2023-12-08 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.2312.04359,
title = {A spectral condition for the control of eigenfunctions of Baouendi-Grushin type operators},
author = {Mohammad Harakeh and Luc Hillairet},
journal= {arXiv preprint arXiv:2312.04359},
year = {2023}
}