%0 Journal Article
%T Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data
%A William M. Feldman
%A Inwon Kim
%A Panagiotis E. Souganidis
%J Mathematics
%D 2014
%I arXiv
%X We study the averaging behavior of nonlinear uniformly elliptic partial differential equations with random Dirichlet or Neumann boundary data oscillating on a small scale. Under conditions on the operator, the data and the random media leading to concentration of measure, we prove an almost sure and local uniform homogenization result with a rate of convergence in probability.
%U http://arxiv.org/abs/1408.0254v1