Remarks on Li-Yau inequality on graphs
Abstract
In this paper, we study Li-Yau gradient estimates for the solutions u to the heat equation ∂tu= u on graphs under the curvature condition CD(n,-K) introduced by Bauer et al. in BHLLMY. As applications, we derive Harnack inequalities and heat kernel estimates on graphs. Also we present a type of Hamilton gradient estimates.
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