Kelvin transforms and the asymptotic analysis

：韩青（美国圣母大学）
：2023-10-17 09:00
：海韵园实验楼105报告厅

报告人：韩青（美国圣母大学）

时  间：2023年10月17日9:00

地  点：海韵园实验楼105报告厅

内容摘要:

It is well-known that the Kelvin transform plays an important role in studying harmonic functions. With the Kelvin transform, the study of harmonic functions near infinity is equivalent to studying the transformed harmonic functions near the origin. In this talk, we will demonstrate that the Kelvin transform also plays an important role in studying asymptotic behaviors of solutions of nonlinear elliptic near infinity. We will study solutions of the minimal surface equation, the Monge-Ampere equation, and the special Lagrange equation and prove an optimal decomposition of solutions near infinity.  

个人简介：

韩青，美国圣母大学教授，国际著名的偏微分方程和几何分析专家，获美国Sloan Research Fellowship。在等距嵌入、Monge-Ampere方程、调和函数的零点集和奇异集、退化方程，极小曲面方程、Yamabe方程的渐近行为等方面做出了一系列原创性的重要研究成果。在CPAM等国际数学刊物发表多篇学术论文，出版了多部几何分析和偏微分方程方面的专著。

 

联系人：夏超