中科院数学与系统科学研究院
数学研究所
学术报告
非线性分析研讨班
报告人：Yannick Sire (Johns Hopkins University)
题 目：Harmonic maps with free boundary and beyond
时 间：2022.10.20（星期四）上午09:00-10:00
地 点：Zoom: 563 133 4105 Code: AMSS
摘 要：I will introduce a new heat flow for harmonic maps with free boundary. After giving some motivations to study such maps in relation with extremal metrics in spectral geometry, I will construct weak solutions for the flow and derive their partial regularity. The introduction of this new flow is motivated by the so-called half-harmonic maps introduced by Da Lio and Riviere, which provide a new approach to the old topic of harmonic maps with free boundary. I will also state some open problems and possible generalizations.