Article ID Journal Published Year Pages File Type
5774536 Journal of Mathematical Analysis and Applications 2017 19 Pages PDF
Abstract
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), which is introduced by Bauer et al. in [5]. As applications, we derive Harnack inequalities and heat kernel estimates on graphs. Also we present a type of Hamilton gradient estimates.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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