Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data
Analysis of PDEs
2014-08-04 v1
Abstract
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.
Cite
@article{arxiv.1408.0254,
title = {Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data},
author = {William M. Feldman and Inwon Kim and Panagiotis E. Souganidis},
journal= {arXiv preprint arXiv:1408.0254},
year = {2014}
}