Xiangjin Xu

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20082019

most citedUpper and lower bounds for normal derivatives of spectral clusters of Dirichlet Laplacian

2 citations · 3 across the 4 of their papers we have counts for

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math.DG2019

Heat kernel Gaussian bounds on manifolds I: manifolds with non-negative Ricci curvature

Xiangjin Xu

This is first of series papers on new two-side Gaussian bounds for the heat kernel $H (x, y, t)$ on a complete manifold $(M, g)$ . In this paper, on a complete manifold $M$ with $Ric(M)…

math.DG2009★ 1 cited

Differential Harnack inequalities on Riemannian manifolds I : linear heat equation

Junfang Li, Xiangjin Xu

In the first part of this paper, we get new Li-Yau type gradient estimates for positive solutions of heat equation on Riemmannian manifolds with $R i cc i (M) \geq - k$ , $k \in R$ .…