The Evans-Krylov theorem for nonlocal parabolic fully nonlinear equations

TL;DR

This paper extends the Evans-Krylov theorem to nonlocal parabolic fully nonlinear equations, providing regularity results for solutions of these complex equations.

Contribution

It introduces a novel proof of the Evans-Krylov theorem applicable to nonlocal parabolic equations, advancing the understanding of their regularity properties.

Findings

Established regularity results for solutions

Extended Evans-Krylov theorem to nonlocal parabolic equations

Provided new techniques for analyzing nonlinear nonlocal PDEs

Abstract

In this paper, we prove the Evans-Krylov theorem for nonlocal parabolic fully nonlinear equations.