Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems
Zhongwei Shen · Analysis & PDE · 2015
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,α domain.