High-order Regularity Theory for High-contrast Elliptic Homogenization
Analysis of PDEs
2026-02-24 v2
Abstract
The purpose of this article is to formulate and prove a global high-order regularity result within the high-contrast framework of elliptic homogenization. In order to achieve this, we also present a version of the high-contrast Caccioppoli inequality.
Cite
@article{arxiv.2510.00737,
title = {High-order Regularity Theory for High-contrast Elliptic Homogenization},
author = {Heikki Lohi},
journal= {arXiv preprint arXiv:2510.00737},
year = {2026}
}
Comments
38 pages