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arXiv · 2510.00737

High-order Regularity Theory for High-contrast Elliptic Homogenization

Heikki Lohi
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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.

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Heikki Lohi. 2025-10-01. High-order Regularity Theory for High-contrast Elliptic Homogenization. https://arxiv.org/abs/2510.00737

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