Strichartz Estimates for a Class of Baouendi-Grushin Operators

2024/11/29 by Nicolas Burq, Burq, Nicolas, Mickaël Latocca +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2411.19808

openalex publication_date 2024/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove Strichartz estimates for a class of Baouendi--Grushin operators acting either on the Euclidean space or a product of the type ℝ^d₁ × 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.

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• Nonexistence of global solutions to the Grushin heat equation with nonlocal and local nonlinearities

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