Abstract
This article is concerned with the large-scale regularity in the homogenization of elliptic systems of elasticity with periodic high-contrast coefficients. We obtain the large-scale Lipschitz estimate that is uniform with respect to the contrast ratio (Formula presented.) for (Formula presented.) Our study also covers the case of soft inclusions (δ = 0) as well as the case of stiff inclusions ((Formula presented.)). The large-scale Lipschitz estimate, together with classical local estimates, allows us to establish explicit bounds for the matrix of fundamental solutions and its derivatives.
| Original language | English |
|---|---|
| Pages (from-to) | 1027-1057 |
| Number of pages | 31 |
| Journal | Communications in Partial Differential Equations |
| Volume | 46 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2020 Taylor & Francis Group, LLC.
Funding
This study was supported in part by NSF grant DMS-1856235.
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | 1856235 |
Keywords
- 35B27
- 74Q05
- High-contrast coefficient
- large-scale estimate
- perforated domains
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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