Strichartz estimates for the Dirac equation on asymptotically flat manifolds

preprint2022arXivOpen access

Abstract

In this paper we prove Strichartz estimates for the Dirac equation on asymptotically flat manifolds. The proof combines the weak dispersive estimates proved by the first two authors with the Strichartz and smoothing estimates for the wave and Klein-Gordon flows, exploiting some recent results in the same geometrical setting.

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