paper

Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients

arXiv:2103.04071 · doi:10.4208/aam.OA-2021-0001

Abstract

We present a new method for the existence and pointwise estimates of a Green's function of non-divergence form elliptic operator with Dini mean oscillation coefficients. We also present a sharp comparison with the corresponding Green's function for constant coefficients equations.

14 pages