Nodal set and Singular set of Elliptic and Parabolic PDEs

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:江文帅(浙江大学)
:2024-12-30 16:00
:海韵园行政楼C503

报告人:江文帅(浙江大学)

 间:2024123016:00

 点:海韵园行政楼C503

内容摘要:

In this talk, we consider solution of second order Elliptic PDEs and Parabolic PDEs. In the first part we will recall some results about nodal sets and singular sets to the solutions of Elliptic PDEs. In the second part we will study the behavior of nodal set along the Parabolic PDEs. We will study the Hausdorff measure of the nodal set in each time slice. This is based on joint work with Yiqi Huang.

人简介

江文帅,浙江大学教授、国家杰出青年科学基金获得者。研究方向为几何分析,主要是研究Ricci曲率有界流形的Gromov-Hausdorff极限空间、曲率流、调和映照等,相关成果发表在Ann. of Math., Geom. Funct. Anal., J. Reine Angew. Math.等学术期刊。  

 

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