Cordes-Nirenberg type estimates for nonlocal parabolic equations

TL;DR

This paper extends Cordes-Nirenberg estimates to nonlocal parabolic equations within a broader solution space, enhancing the theoretical understanding of such equations.

Contribution

It introduces Cordes-Nirenberg type estimates for nonlocal parabolic equations in a more flexible solution space than classical bounded function spaces.

Findings

Establishment of Cordes-Nirenberg estimates for nonlocal parabolic equations

Extension of estimates to the space $L^{ ext{infinity}}_T(L^1_{ ext{omega}})$

Broader applicability of regularity results for nonlocal equations

Abstract

In this paper, we obtain Cordes-Nirenberg type estimates for nonlocal parabolic equations on the more flexible solution space $L^{\iy}_T(L^1_{\om})$ than the classical solution space $\rB(\BR^n_T)$ consisting of all bounded functions on $\BR^n_T$.