Heat kernels for time-dependent non-symmetric mixed L\'evy-type operators
Analysis of PDEs
2020-10-09 v1
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.
Cite
@article{arxiv.2010.03687,
title = {Heat kernels for time-dependent non-symmetric mixed L\'evy-type operators},
author = {Zhen-Qing Chen and Xicheng Zhang},
journal= {arXiv preprint arXiv:2010.03687},
year = {2020}
}