08-03【Zhenqing Chen】管楼1318天元基金几何与随机分析及其应用交叉讲座之166


报告题目: Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms

报告人:Zhenqing  Chen 

报告时间:8月3日 3:00-4:00


In this talk, I will present recent progress in the study of heat kernels and parabolic Harnack inequalities for symmetric Markov processes that have both diffusive and jumping parts on general metric measure spaces.  Under general volume doubling condition and some mild assumptions on the scaling functions, we establish stability results for two-sided estimates for heat kernels in terms of the jumping kernels, the generalized capacity inequalities, and Poincare inequalities. Stable characterizations of the associated parabolic Harnack inequalities will also be given. Our results hold on spaces even when the underlying spaces have walk dimensions are larger than 2.

Joint work with Takashi Kumagai and Jian Wang.

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