Heat kernels for time-dependent non-symmetric mixed Lévy-type operators

Abstract

In this paper we establish the existence and uniqueness of heat kernels to a large class of time-inhomogenous non-symmetric nonlocal operators with Dini's continuous kernels. Moreover, quantitative estimates including two-sided estimates, gradient estimate and fractional derivative estimate of the heat kernels are obtained.

References in corpus (2)

• Heat kernel estimates for non-symmetric stable-like processes
• Heat kernel estimates for general symmetric pure jump Dirichlet forms

Cited by in corpus (1)

• Heat kernel of supercritical SDEs with unbounded drifts