Heat kernel estimates for critical fractional diffusion operator
Analysis of PDEs
2013-04-16 v2
Abstract
In this work we construct the heat kernel of the 1/2-order Laplacian perturbed by the first-order gradient term in H\"older space and the zero-order potential term in generalized Kato's class, and obtain sharp two-sided estimates as well as the gradient estimate of the heat kernel.
Keywords
Cite
@article{arxiv.1210.7063,
title = {Heat kernel estimates for critical fractional diffusion operator},
author = {Longjie Xie and Xicheng Zhang},
journal= {arXiv preprint arXiv:1210.7063},
year = {2013}
}
Comments
28pages