Strichartz estimates for the Dirac flow in Wiener amalgam spaces
Analysis of PDEs
2023-03-31 v2
Abstract
In this paper we obtain some new Strichartz estimates for the Dirac flow in the context of Wiener amalgam spaces which control the local regularity of a function and its decay at infinity separately unlike spaces. While it is well understood recently for some flows such as the Schr\"odinger and wave flows that work in the non-relativistic regime, nothing is known about the Dirac flow which governs a physical system in the case of relativistic fields.
Keywords
Cite
@article{arxiv.2205.05547,
title = {Strichartz estimates for the Dirac flow in Wiener amalgam spaces},
author = {Seongyeon Kim and Hyeongjin Lee and Ihyeok Seo},
journal= {arXiv preprint arXiv:2205.05547},
year = {2023}
}
Comments
To appear in Math. Nachr., 14 pages. arXiv admin note: text overlap with arXiv:2012.07270