Li-Yau inequality for unbounded Laplacian on graphs

Chao Gong, Yong Lin, Shuang Liu*, Shing Tung Yau

*此作品的通讯作者

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15 引用 (Scopus)

摘要

In this paper, we derive Li-Yau inequality for unbounded Laplacian on complete weighted graphs with the assumption of the curvature dimension inequality CDE(n,K), which can be regarded as a notion of curvature on graphs. Furthermore, we obtain some applications of Li-Yau inequality, including Harnack inequality, heat kernel bounds and Cheng's eigenvalue estimate. These are the first kind of results in this direction for unbounded Laplacian on graphs.

源语言英语
文章编号106822
期刊Advances in Mathematics
357
DOI
出版状态已出版 - 1 12月 2019
已对外发布

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