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arXiv · 2312.04359

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

Mohammad Harakeh·Luc Hillairet
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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.

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Mohammad Harakeh, Luc Hillairet. 2023-12-07. A spectral condition for the control of eigenfunctions of Baouendi-Grushin type operators. https://arxiv.org/abs/2312.04359

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