Algebraic Error Estimates for the Stochastic Homogenization of Uniformly Parabolic Equations

Abstract

This article establishes an algebraic error estimate for the stochastic homogenization of fully nonlinear uniformly parabolic equations in stationary ergodic spatio-temporal media. The approach is similar to that of Armstrong and Smart in the study of quantitative stochastic homogenization of uniformly elliptic equations.

41 pages, minor edits, to appear in Analysis and PDE