This analysis demonstrates Strichartz estimates for baouendi–grushin operators in euclidean spaces, suggesting implications for Cauchy theory.
We prove Strichartz estimates for a class of Baouendi–Grushin operators acting either on the Euclidean space or on a product of the type Rd_1× 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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Burq et al. (2025) studied this question.
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