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New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds 期刊论文
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 页码: 24
作者:  Kuwae, Kazuhiro;  Li, Xiang-Dong
收藏  |  浏览/下载:134/0  |  提交时间:2022/04/29
Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 卷号: 274, 期号: 11, 页码: 3263-3290
作者:  Li, Songzi;  Li, Xiang-Dong
收藏  |  浏览/下载:167/0  |  提交时间:2018/07/30
Hamilton differential Harnack inequality  W-entropy  Super Ricci flows  
ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS 期刊论文
ASIAN JOURNAL OF MATHEMATICS, 2018, 卷号: 22, 期号: 3, 页码: 577-598
作者:  Li, Songzi;  Li, Xiang-Dong
收藏  |  浏览/下载:178/0  |  提交时间:2018/09/08
Harnack inequality  super Perelman Ricci flows  Witten Laplacian  
Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2016, 卷号: 126, 期号: 4, 页码: 1264-1283
作者:  Li, Xiang-Dong
收藏  |  浏览/下载:142/0  |  提交时间:2018/07/30
Hamilton's Harnack inequality  Gradient estimates  Logarithmic heat kernel  Witten Laplacian  W-entropy formula  
On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2011, 卷号: 150, 期号: 1-2, 页码: 111-144
作者:  Li, Xiang-Dong
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Beurling-Ahlfors transforms  Hodge decomposition  Martingale representation formula  Weitzenbck curvature  
L-p-estimates and existence theorems for the partial derivative-operator on complete Kahler manifolds 期刊论文
ADVANCES IN MATHEMATICS, 2010, 卷号: 224, 期号: 2, 页码: 620-647
作者:  Li, Xiang-Dong
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
Kodaira Laplacian  partial derivative-Operator  L-p-estimates and existence theorem  L-p-cohomology  Bochner-Lichnerowicz-Weitzenbock formula