A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients

Abstract

The authors will use a method in metric geometry to show an L ^p-estimate for gradient of the weak solutions to elliptic equations with discontinuous coefficients, even the BMO semi-norms of the coefficients are not small. They also extend them to the weak solutions to parabolic equations.

Keywords

L ^p-Estimate / Elliptic equation / Discontinuous coefficients