Uniform Lipschitz estimates in stochastic homogenization
Scott N. Armstrong · Journées Équations aux dérivées partielles · 2014
We review some recent results in quantitative stochastic homogenization for divergence-form, quasilinear elliptic equations. In particular, we are interested in obtaining L ∞ -type bounds on the gradient of solutions and thus giving a demonstration of the principle that solutions of equations with random coefficients have much better regularity (with overwhelming probability) than a general equation with non-constant coefficients.