Quantitative analysis of boundary layers in periodic homogenization
Armstrong, Scott, Kuusi, Tuomo, Jean-Christophe Mourrat, Christophe Prange · Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine) · 2016
We prove quantitative estimates on the rate of convergence for the oscillating Dirichlet problem in periodic homogenization of divergence-form uniformly elliptic systems. The estimates are optimal in dimensions larger than three and new in every dimension. We also prove a regularity estimate on the homogenized boundary condition.