Special Session 15: Qualitative properties for solutions to nonlinear elliptic and parabolic equations
Optimal convergence rates and uniform regularity for multiscale elliptic homogenization
Jinping Zhuge
Morningside Center of Mathematics, Chinese Academy of Sciences Peoples Rep of China
Co-Author(s): Zhongwei Shen, Yao Xu, Weisheng Niu
Abstract:
I will talk about recent progress in homogenization theory for the linear elliptic equations with coefficients periodically oscillating at multiple different microscopic scales. The optimal convergence rates and uniform regularity in various settings will be discussed.