On gradient estimates for the heat kernel
Analysis of PDEs
2018-08-14 v3 Differential Geometry
Abstract
We study pointwise and gradient estimates of the heat kernel, on manifolds that may have some amount of negative Ricci curvature, provided it is not too negative (in an integral sense) at infinity. We also prove uniform boundedness results on spaces for the heat operator of the Hodge Laplacian on differential forms.
Cite
@article{arxiv.1803.10015,
title = {On gradient estimates for the heat kernel},
author = {Baptiste Devyver},
journal= {arXiv preprint arXiv:1803.10015},
year = {2018}
}
Comments
67 pages, a mistake in the proof of Corollary 1.9 has been corrected; improved presentation of the proofs of Theorems 1.11 and 1.14