报告题目：The weak elliptic Harnack inequality on doubling spaces
报告人：胡家信 教授
时间：2023年4月27日（周四）10:00-11:00
地点：藕舫楼629
邀请人：黄学平 老师
报告摘要：
In this talk I will show how to derive the weak elliptic Harnack inequality from the generalized capacity condition, the tail estimate of jump measure and the Poincaré inequality, for any regular Dirichlet form without killing part on a measure metric space, by using the lemma of growth and the John-Nirenberg inequality. I will then show several equivalent characterizations of the weak elliptic Harnack inequality for any (not necessarily regular) Dirichlet form. Finally, I will present some consequences of the weak elliptic Harnack inequality.
The talk is based on the joint work with my PhD student Zhenyu Yu.
报告人简介：
胡家信，清华大学数学科学系长聘教授、博士生导师。胡老师从事偏微分方程、调和分析、分形几何、狄氏型理论与热核估计等相关领域的研究，主要成果发表于Invent. Math.,Comm. Pure Appl. Math.,Comm. Math. Phys., Adv. Math.等著名学术期刊，曾获德国洪堡高级访问学者荣誉，主持多项国家自然科学基金。
数学与统计学院
2023年4月25