Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradient
Probability
2017-12-21 v1 Analysis of PDEs
Abstract
By using Duhamel's formula, we prove sharp two-sided estimates for the heat kernel of spectral fractional Laplacian with time-dependent gradient perturbation in bounded domains. Moreover, we also obtain gradient estimate as well as H\"older continuity of the gradient of the heat kernel.
Keywords
Cite
@article{arxiv.1712.07565,
title = {Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradient},
author = {Renming Song and Longjie Xie and Yingchao Xie},
journal= {arXiv preprint arXiv:1712.07565},
year = {2017}
}