2013/11/14 by Qian, Bin
#05C81 53C21 35K08 #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1311.3367
In this paper, we study Li-Yau gradient estimates for the solutions u to the heat equation ∂tu=Δu on graphs under the curvature condition CD(n,-K) introduced by Bauer et al. in \citeBHLLMY. As applications, we derive Harnack inequalities and heat kernel estimates on graphs. Also we present a type of Hamilton gradient estimates.