Quantitative homogenization for the obstacle problem and its free boundary
Analysis of PDEs
2021-12-22 v1
Abstract
In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients. As a consequence, large-scale regularity results both for the solution and the free boundary for the heterogeneous obstacle problem are derived.
Cite
@article{arxiv.2112.10879,
title = {Quantitative homogenization for the obstacle problem and its free boundary},
author = {Gohar Aleksanyan and Tuomo Kuusi},
journal= {arXiv preprint arXiv:2112.10879},
year = {2021}
}
Comments
42 pages, 1 figure