Abstract: |
In this talk, we consider a strong Markov process whose transition density function enjoys two-sided estimates consisting of both Gaussian and power components. We will show that, under certain Kato class conditions, the heat kernel of a non-local Feynman-Kac semigroup has similar two-sided estimates, but with a set of possibly different Gaussian coefficients.
This is a joint work with Professor Zhen-Qing Chen. |