Shen, Zhongwei Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems. (English) Zbl 1327.35025 Anal. PDE 8, No. 7, 1565-1601 (2015). Summary: For a family of second-order elliptic systems in divergence form with rapidly oscillating, almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients. The results are used to investigate the problem of convergence rates. We also establish uniform Hölder estimates for the Dirichlet problem in a bounded \(C^{1, \alpha}\) domain. Cited in 22 Documents MathOverflow Questions: What is the the ”method of ascending” in the study of elliptic systems in dimension two? MSC: 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35J57 Boundary value problems for second-order elliptic systems 35B15 Almost and pseudo-almost periodic solutions to PDEs Keywords:approximate correctors; systems in divergence form; Dirichlet problem PDFBibTeX XMLCite \textit{Z. Shen}, Anal. PDE 8, No. 7, 1565--1601 (2015; Zbl 1327.35025) Full Text: DOI arXiv