English

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 ε0\varepsilon\rightarrow 0 and estimate the size of the random fluctuations in the setting d3d\geq3.

Keywords

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

R2 v1 2026-06-22T02:13:41.160Z