Invited by Prof. Jun Geng and Pro. Sibei Yang, Associate Prof. Jun Cao from Zhejiang University of Technology will give a lecture online.

Title: Gaussian estimates for heat kernels of higher order Schroedinger operators with potentials in generalized Schechter class

Time: 14:30 p.m.,Apr. 19th, 2021

Conference ID: 958 470 238( Tencent Conference)

Abstract: Let L=P(D)+V be a higher order Schroedinger operator on the Euclidean space with the potential V satisfying some generalized Schechter conditions. In this talk, we show that L possesses a heat kernel that satisfies the Gaussian upper bound and the Hoelder regularity. The Davies–Gaffney estimates for the associated semigroup and their local versions are also discussed. This is a joint work with Profs. Dachun Yang, Yu Liu and Chao Zhang.