Homogenization of elliptic equations with large random potential
Analysis of PDEs
2013-11-26 v1
Abstract
We consider an elliptic equation with purely imaginary, highly heterogeneous, and large random potential with a sufficiently rapidly decaying correlation function. We show that its solution is well approximated by the solution to a homogeneous equation with a real-valued homogenized potential as the correlation length of the random medium and estimate the size of the random fluctuations in the setting .
Cite
@article{arxiv.1311.6040,
title = {Homogenization of elliptic equations with large random potential},
author = {Guillaume Bal and Ningyao Zhang},
journal= {arXiv preprint arXiv:1311.6040},
year = {2013}
}
Comments
14 pages