Special Session 181: Dirichlet Forms and Related Topics

Non-local Feynman-Kac perturbations for jump diffusions on metric measure spaces
Kyung-Youn Kim
National Chung-Hsing University/Applied Mathematics
Taiwan
Co-Author(s):    Zhen-Qing Chen; Lidan Wang
Abstract:
We establish the stability of two-sided heat kernel estimates for a class of (possibly non-symmetric) jump diffusions on metric measure spaces under non-local Feynman-Kac perturbations. Moreover, we obtain parabolic Harnack inequality and Holder regularity for parabolic functions of the non-local Schrodinger operators of the jump diffusions.