UTK-PDE Distinguished Lecture Series: Lecture 1

Speaker: Professor Zhongwei Shen (University of Kentucky)

Title: Quantitative Homogenization of Elliptic Equations

Abstract: These lectures provide an introduction to the quantitative homogenization theory for second order elliptic equations and systems in divergence form with periodic coefficients. We begin with the classical qualitative theory of homogenization in Lecture One and give an overview of the quantitative results obtained in recent years. In Lectures Two and Three, we will discuss some of techniques developed to establish the large-scale regularity estimates.