Regularity theory on fractional harmonic mappings

发布时间:2024-12-03浏览次数:74

报告题目:Regularity theory on fractional harmonic mappings

报告人:郑高峰(华中师范大学数学与统计学院教授、博士生导师)

时间:2024年12月9日,11:00-12:00

地点:36-507

摘要:In this talk, we consider sphere-valued stationary/minimizing fractional harmonic mappings introduced in recent years by several authors, especially by MillotPegon-Schikorra and Millot-Sire. Based on their rich partial regularity theory, we establish a quantitative stratification theory for singular sets of these mappings by making use of the quantitative differentiation approach of Cheeger-Naber, from which a global regularity estimates follows. This is a joint work with Yu He and Chang-Lin Xiang.

报告人简介:郑高峰,男,现任华中师范大学数学与统计学学院教学副院长。主要从事偏微分方程、几何发展方程、几何测度论的研究。曾作为成员获国家教学成果奖二等奖一项、湖北省教学成果奖一等奖两项,获华中师范大学第七届“桂苑名师”称号。