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 C1,α domain.
Digital Object Identifier (DOI)
Shen, Zhongwei, "Convergence Rates and Hölder Estimates in Almost-Periodic Homogenization of Elliptic Systems" (2015). Mathematics Faculty Publications. 13.