渐近平坦流形上Dirac方程的Strichartz估计

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-03-30 DOI:10.2422/2036-2145.202203_026

F. Cacciafesta, A. Suzzoni, Long Meng

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引用次数: 1

摘要

本文证明了渐近平面流形上狄拉克方程的Strichartz估计。该证明结合了前两位作者所证明的弱色散估计，以及波和Klein-Gordon流的Strichartz和平滑估计，利用了相同几何设置下的一些最新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Strichartz estimates for the Dirac equation on asymptotically flat manifolds

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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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

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