Elliptic homogenization from qualitative to quantitative
Analysis of PDEs
2024-09-19 v2 Probability
Abstract
We give a self-contained introduction to the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. The presentation also contains new results, such as optimal estimates (both in terms of stochastic moments and scaling of the error) for coefficient fields which are local functions of Gaussian random fields.
Keywords
Cite
@article{arxiv.2210.06488,
title = {Elliptic homogenization from qualitative to quantitative},
author = {Scott Armstrong and Tuomo Kuusi},
journal= {arXiv preprint arXiv:2210.06488},
year = {2024}
}
Comments
259 pages. Previously announced at http://www.scottnarmstrong.com/2022/10/elliptic-homogenization-from-quantitative-to-qualitative