2026京师调和分析论坛(10) (2026.10.23)
会议安排
Zoom会议号：840 808 61091，入会密码：999999
时间 |
报告人 |
报告题目 |
单位 |
15:30-16:15 |
Juha Kinnunen |
Doubling measures, Poincare inequalities and parabolic Harnack inequalities for a doubly nonlinear equation (I) |
Aalto University， Finland |
16:25-17:10 |
Doubling measures, Poincare inequalities and parabolic Harnack inequalities for a doubly nonlinear equation (II) |
会议由以下项目支持:
北京师范大学教育部&科技部“调和分析及其应用创新引智基地”
国家自然科学基金重点项目“相关于球平均、Chirp函数和区域上算子的函数空间公理化实变理论及其应用”
组委会：戴峰, 杨大春, 袁文, 张阳阳
2026年10月9日
报告信息
报告题目: Doubling measures, Poincare inequalities and parabolic Harnack inequalities for a doubly nonlinear equation
报告摘要: We characterize metric measure spaces that satisfy parabolic Harnack inequalities for a doubly nonlinear equation in terms of the volume doubling property and Poincaré inequalities. Our approach is purely analytical and is based on deriving estimates for solutions to a related Cauchy problem. This extends previous linear results to the nonlinear setting without relying on heat kernel estimates or representation formulas.
