Heat Kernels for Non-symmetric Non-local Operators

Abstract

We survey the recent progress in the study of heat kernels for a class of non-symmetric non-local operators. We focus on the existence and sharp two-sided estimates of the heat kernels and their connection to jump diffusions.

Survey article. To appear as a chapter in "Recent Developments in the Nonlocal Theory" by De Gruyter

References in corpus (3)

• Derivative formula and gradient estimate for SDEs driven by $\alpha$-stable processes
• Stability of Heat Kernel Estimates for Diffusions with Jumps under Non-local Feynman-Kac Perturbations
• Fundamental solutions of nonlocal Hörmander's operators

Cited by in corpus (1)

• Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel