中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人： 徐侥（中国科学院大学）   

题  目：Homogenization of Elliptic Systems with Stratified Structure

时  间：2022.05.11（星期三）上午9:00-10:00

地  点：腾讯会议：948-3602-5762

摘  要：This talk mainly concerns the homogenization of second-order elliptic systems with stratified structure on bounded Lipschitz domains. A brief review on the classical homogenization theory in PDE will be presented first. Under rather general smoothness assumptions on the coefficients, the sharp-order scale-invariant convergence rate in $L^{2d/(d-1)}(\Omega)$ for stratified systems is established. We also study the interior uniform regularity estimates for the system, including the large-scale Lipschitz estimates, $W^{1, p}$ estimates and large-scale Holder estimates.