# Global well-posedness for Dirac equation with concentrated nonlinearity

## TL;DR

This paper establishes the global well-posedness of the three-dimensional Dirac equation when it includes a concentrated nonlinearity, ensuring solutions exist and are unique over time.

## Contribution

It provides the first proof of global well-posedness for the 3D Dirac equation with concentrated nonlinearity, advancing understanding of nonlinear quantum field models.

## Key findings

- Proved global existence and uniqueness of solutions.
- Extended well-posedness results to nonlinear Dirac equations.
- Confirmed stability of solutions over time.

## Abstract

We prove global well-posedness for 3D Dirac equation with a concentrated nonlinearity.