Quantitative Estimates in Reiterated Homogenization

2019/09/20 by Niu, Weisheng, Shen, Zhongwei, Xu, Yao · 1 citation
#35B27 #74Q05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.09513

Abstract

This paper investigates quantitative estimates in the homogenization of second-order elliptic systems with periodic coefficients that oscillate on multiple separated scales. We establish large-scale interior and boundary Lipschitz estimates down to the finest microscopic scale via iteration and rescaling arguments. We also obtain a convergence rate in the L² space by the reiterated homogenization method.

Cited by

• Optimal convergence rates in multiscale elliptic homogenization

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