Critical Point Sets of Solutions in Elliptic Homogenization

• 主讲人：Fanghua Lin (Courant Institute, NYU)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-05-19 21:00 - 2022-05-19 22:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/872A119E054BC012A4A81977B8AA410E
Valid Until: 2026-06-30 23:59

Abstract: In this talk, I shall outline a proof for bounds on H^(n-2)–Hausdorff measure of critical point sets of solutions in elliptic homogenization. The method works for solutions of elliptic equations with Lipschitz coefficients also. This is a joint work with Zhongwei Shen.

 

Bio: Professor Fanghua Lin is a Silver Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. He received his Ph.D. in 1985 from the University of Minnesota. His research interests are in nonlinear partial differential equations, geometric measure theory and applied & geometric analysis.  Professor Lin has made significant contributions to the theory of liquid crystals, harmonic maps, Ginzburg-Landau equations and the theory of homogenization. He has also made important contributions to the studies of topological defects, vortices, quantitative unique continuation, nodal and critical sets of solutions of partial differential equations.