Strichartz Estimates for a Class of Baouendi-Grushin Operators

Fuente: arXiv
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Autores principales: Burq, Nicolas, Latocca, Mickaël
Formato: Preprint
Publicado: 2024
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author Burq, Nicolas
Latocca, Mickaël
author_facet Burq, Nicolas
Latocca, Mickaël
contents 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 Schrödinger equations.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19808
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strichartz Estimates for a Class of Baouendi-Grushin Operators
Burq, Nicolas
Latocca, Mickaël
Analysis of PDEs
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 Schrödinger equations.
title Strichartz Estimates for a Class of Baouendi-Grushin Operators
topic Analysis of PDEs
url https://arxiv.org/abs/2411.19808