# Strichartz estimates for the Dirac equation on spherically symmetric spaces

## TL;DR

This paper establishes local-in-time Strichartz estimates for the Dirac equation on spherically symmetric manifolds and applies these results to demonstrate local well-posedness for certain nonlinear models.

## Contribution

It provides the first proof of Strichartz estimates for the Dirac equation in spherically symmetric geometries, extending analysis tools in geometric PDEs.

## Key findings

- Proved local Strichartz estimates for the Dirac equation on spherically symmetric spaces.
- Applied estimates to show local well-posedness for nonlinear Dirac models.
- Extended PDE analysis techniques to curved, symmetric manifolds.

## Abstract

We prove local in time Strichartz estimates for the Dirac equation on spherically symmetric manifolds. As an application, we give a result of local well-posedness for some nonlinear models.