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arXiv · 2411.19808

Strichartz Estimates for a Class of Baouendi-Grushin Operators

Nicolas Burq·Mickaël Latocca
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Abstract

We prove Strichartz estimates for a class of Baouendi--Grushin operators acting either on the Euclidean space or a product of the type $\mathbb{R}^{d_1} \times M$, where $(M,g)$ is a smooth compact manifold with no boundary. We then give an application of these Strichartz estimates to the Cauchy theory for the associated Schr\"odinger equations.

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Nicolas Burq, Mickaël Latocca. 2024-11-29. Strichartz Estimates for a Class of Baouendi-Grushin Operators. https://arxiv.org/abs/2411.19808

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