Skip to main content

Analysis and PDE Seminar

Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Professor Zhongwei Shen, University of Kentucky

Title:  Large-Scale Boundary Regularity Estimates in Periodic Homogenization

Abstract:  In this talk I will discuss some of recent progress on boundary regularity at large scale in homogenization of second-order elliptic systems in divergence form with rapidly oscillating periodic coecients. Here we are interested in the estimates, due to homogenization, for operators with bounded measurable coecients. These large-scale estimates, combined with the small-scale estimates obtained by rescaling, lead to the sharp regularity estimates at all scales.  In particular, the cases of the Rellich estimates in Lipschitz domains and the Lipschitz estimates in C1; domains will be presented.

Event Series: