%0 Journal Article
%T Homogenization of elliptic equations with large random potential
%A Guillaume Bal
%A Ningyao Zhang
%J Mathematics
%D 2013
%I arXiv
%X 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 $\varepsilon\rightarrow 0$ and estimate the size of the random fluctuations in the setting $d\geq3$.
%U http://arxiv.org/abs/1311.6040v1