Quantitative stochastic homogenization and regularity theory of parabolic equations
Quantitative stochastic homogenization and regularity theory of parabolic equations
We develop a quantitative theory of stochastic homogenization for linear, uniformly parabolic equations with coefficients depending on space and time. Inspired by recent works in the elliptic setting, our analysis is focused on certain subadditive quantities derived from a variational interpretation of parabolic equations. These subadditive quantities are intimately connected …