English

Strichartz estimates for the Dirac equation on asymptotically flat manifolds

Analysis of PDEs 2022-03-31 v1

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.

Keywords

Cite

@article{arxiv.2203.16096,
  title  = {Strichartz estimates for the Dirac equation on asymptotically flat manifolds},
  author = {Federico Cacciafesta and Anne-Sophie de Suzzoni and Long Meng},
  journal= {arXiv preprint arXiv:2203.16096},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-24T10:31:22.542Z