Remarks on Li-Yau inequality on graphs
Differential Geometry
2013-11-15 v1 Combinatorics
Abstract
In this paper, we study Li-Yau gradient estimates for the solutions to the heat equation on graphs under the curvature condition introduced by Bauer et al. in \cite{BHLLMY}. As applications, we derive Harnack inequalities and heat kernel estimates on graphs. Also we present a type of Hamilton gradient estimates.
Cite
@article{arxiv.1311.3367,
title = {Remarks on Li-Yau inequality on graphs},
author = {Bin Qian},
journal= {arXiv preprint arXiv:1311.3367},
year = {2013}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:1306.2561 by other authors