Strichartz Estimates for a Class of Baouendi-Grushin Operators
Abstract
We prove Strichartz estimates for a class of Baouendi--Grushin operators acting either on the Euclidean space or a product of the type Rd1 × 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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