Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields
Abstract We study the large scale behavior of elliptic systems with stationary random coefficient that have only slowly decaying correlations. To this aim we analyze the so-called corrector equation, a degenerate elliptic equation posed in the probability space. In this contribution, we use a parabolic approach and optimally quantify the …