108 citations · 358 across the 34 of their papers we have counts for
Showing 2015 · math.DGShow all
3 papers · 2 filters
math.DG2015
Global gradient estimate on graph and its applications
Yong Lin, Shuang Liu, Yunyan Yang
Continuing our previous work (arXiv:1509.07981v1), we derive another global gradient estimate for positive functions, particularly for positive solutions to the heat equation on fi…
math.DG2015★ 1 cited
A gradient estimate for positive functions on graphs
Yong Lin, Shuang Liu, Yunyan Yang
We derive a gradient estimate for positive functions, in particular for positive solutions to the heat equation, on finite or locally finite graphs. Unlike the well known Li-Yau es…
math.DG2015
Ultracontractivity and functional inequalities on infinite graphs
Yong Lin, Shuang Liu, Hongye Song
In this paper, we prove the equivalent of ultracontractive bound of heat semigroup or the uniform upper bound of the heat kernel with the Nash inequality, Log-Sobolev inequalities…