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- Publisher
- Springer Journals
- Copyright
- Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2021
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-021-1001-4
- Publisher site
- See Article on Publisher Site
Abstract
The paper is devoted to the homogenization of elliptic systems in divergence form. We obtain uniform interior as well as boundary Lipschitz estimates in a bounded C1, γ domain when the coefficients are Dini continuous, inhomogeneous terms are divergence of Dini continuous functions and the boundary functions have Dini continuous derivatives. The results extend Avellaneda and Lin’s work [Comm. Pure Appl. Math., 40: 803–847 (1987)], where H¨older continuity is the main assumption on smoothness of the data.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jan 6, 2021