Speaker: Professor Song Renming
Topic: Heat kernel estimates for Dirichlet forms degenerate at the boundary
Date: July 4, 2023
Time: 3:30 p.m.
Venue: Academic Lecture Hall 1506, Building 9
Sponsors: Research Institute of Mathematical Science, School of Mathematics and Statistics, Institute of Science and Technology
Biography：
Song Renming, a professor of Illinois University, graduated with a master’s degree from Hebei University in 1986 and a doctorate from Florida University in 1989. He has visited more than 20 universities and research institutes in Germany, France, Japan, South Korea and Taiwan. He is engaged in stochastic process and stochastic analysis research. In addition, he has published more than 80 papers in international authoritative journals of mathematics and probability such as Trans. Amer. Math. Soc. , Proc. London Math. Soc., J. European Math. Soc, Math. Ann., J. Funct. Anal., Ann. Probab., Probab. Th. Rel. Fields, Stoch. Proc. Appl. He has also made reports at many international academic conferences.
Abstract：
In this talk, I will present some recent results on sharp two-sided heat kernel estimates for non-local operators with jump kernels degenerate at the boundary. The corresponding processes can be either conservative or non-conservative. This talk is based a joint paper with Soobin Cho, Panki Kim and Zoran Vondracek.