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arXiv · 1408.0254

Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data

William M. Feldman·Inwon Kim·Panagiotis E. Souganidis
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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.

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William M. Feldman, Inwon Kim, Panagiotis E. Souganidis. 2014-08-01. Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data. https://arxiv.org/abs/1408.0254

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