Decay Estimations of Higher Derivatives of Solutions to Nonlinear Dirac Equation with Spin Null Structure

TL;DR

This paper establishes decay rates for higher derivatives of solutions to nonlinear massless Dirac equations with spin null structure, extending previous work that only addressed the solution decay.

Contribution

It provides decay estimates for higher derivatives in nonlinear Dirac equations with spin null form, using a method similar to Li and Zang but focusing on derivatives.

Findings

Decay rates for higher derivatives of solutions

Extension of decay results to derivatives

Method adapted from Li and Zang

Abstract

We get decay rate of higher derivatives of nonlinear massless Dirac equations with a kind of "good" spin null form. The method we rely on is similar to that of Li and Zang. However, they only give the decay rate of solution itself to nonlinear massless Dirac system.