Title：Nodal Sets and Doubling Conditions in Elliptic Homogenization 

Speaker：申仲伟  教授 （University of Kentucky）

Time：2018年6月6日     下午 16:30--17:30

Room：东区管理科研楼  数学科学学院1218室

Abstract：This talk is concerned with uniform measure estimates for nodal sets of solutions in elliptic homogenization. We consider a family of second-order elliptic operators in divergence form with rapidly oscillating periodic coefficients. We show that the (d-1)-dimensional Hausdorff measure of the nodal sets of solutions in a ball is uniformly bounded with respect to the inhomogeneity scale. The proof relies on a uniform doubling condition and approximation by solutions of the homogenized equation. This is a joint work with Fanghua Lin.