Stability of Heat Kernel Estimates for Diffusions with Jumps under Non-local Feynman-Kac Perturbations

TL;DR

This paper demonstrates that heat kernel estimates for certain jump diffusions remain stable when subjected to non-local Feynman-Kac perturbations, ensuring robustness of these estimates under such modifications.

Contribution

It establishes the stability of two-sided heat kernel estimates for non-symmetric jump diffusions under non-local Feynman-Kac perturbations, a novel extension in the field.

Findings

Heat kernel estimates are stable under perturbations.

Stability applies to non-symmetric jump diffusions.

Results extend previous stability analyses to broader classes.

Abstract

In this paper we show that two-sided heat kernel estimates for a class of (not necessarily symmetric) diffusions with jumps are stable under non-local Feynman-Kac perturbations.