Davies type estimate and the heat kernel bound under the Ricci flow
Differential Geometry
2014-02-11 v2 Analysis of PDEs
Abstract
We prove a Davies type double integral estimate for the heat kernel under the Ricci flow. As a result, we give an affirmative answer to a question proposed by Chow etc.. Moreover, we apply the Davies type estimate to provide a new proof of the Gaussian upper and lower bounds of which were first shown by Chau-Tam-Yu.
Keywords
Cite
@article{arxiv.1311.5950,
title = {Davies type estimate and the heat kernel bound under the Ricci flow},
author = {Meng Zhu},
journal= {arXiv preprint arXiv:1311.5950},
year = {2014}
}
Comments
conditions refined, some errors corrected