OPTIMAL MORREY ESTIMATE FOR PARABOLIC EQUATIONS IN DIVERGENCE FORM VIA GREEN'S FUNCTIONS

摘要

This paper presents a local Morrey regularity with the optimal exponents for linear parabolic equations in divergence form under the assumption that the leading coefficient is independent of t and not necessarily symmetric based on a rather different approach. Here, we achieve it by applying natural growth properties of Green's functions through the use of parabolic operators and the hole-filling technique.