Strichartz estimates for the Dirac flow in Wiener amalgam spaces

TL;DR

This paper establishes new Strichartz estimates for the Dirac flow within Wiener amalgam spaces, providing insights into the local regularity and decay properties of solutions in the relativistic setting.

Contribution

It introduces the first known Strichartz estimates for the Dirac flow in Wiener amalgam spaces, expanding the mathematical understanding of relativistic quantum systems.

Findings

Derived new Strichartz estimates for Dirac flow

Wiener amalgam spaces effectively separate local regularity and decay

Enhances analysis tools for relativistic quantum equations

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 $L^p$ 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.