Strichartz Estimates for a Class of Baouendi-Grushin Operators

Nicolas Burq; Mickaël Latocca

Strichartz Estimates for a Class of Baouendi-Grushin Operators

Analysis of PDEs 2024-12-02 v1

Authors: Nicolas Burq , Mickaël Latocca

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.

Keywords

Strichartz estimates Baouendi-Grushin operators Schrödinger equation Cauchy problem Euclidean space compact manifold

Cite

@article{arxiv.2411.19808,
  title  = {Strichartz Estimates for a Class of Baouendi-Grushin Operators},
  author = {Nicolas Burq and Mickaël Latocca},
  journal= {arXiv preprint arXiv:2411.19808},
  year   = {2024}
}

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