Global Strichartz estimates for the Dirac equation on symmetric spaces

Jonathan Ben-Artzi, Federico Cacciafesta, Anne Sophie De Suzzoni, Junyong Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension. In particular, we prove estimates for the dynamics restricted to eigenspaces of the Dirac operator on the compact spin manifolds defining the ambient manifold under some explicit sufficient condition on the metric and estimates with loss of angular derivatives for general initial data in the setting of spherically symmetric and asymptotically flat manifolds.

Original languageEnglish
Article numbere25
JournalForum of Mathematics, Sigma
Volume10
DOIs
Publication statusPublished - 12 May 2022

Keywords

  • Dirac equation
  • Spherically symmetric manifolds
  • Strichartz estimates

Fingerprint

Dive into the research topics of 'Global Strichartz estimates for the Dirac equation on symmetric spaces'. Together they form a unique fingerprint.

Cite this