Li-Yau's Estimates on Finsler Manifolds

被引：7
|
作者：
Xia, Qiaoling [1 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 02期
关键词：
Finsler manifold; Heat flow; Weighted Ricci curvature; Li-Yau's estimate; INEQUALITIES; OPERATORS; THEOREMS;
D O I：
10.1007/s12220-022-01103-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give new Li-Yau's type gradient estimates for the positive solutions to the nonlinear heat flow on compact Finsler manifolds with boundary (possibly the boundary is empty) or complete noncompact Finsler manifolds under the assumption that the weighted Ricci curvature is bounded from below. As applications, we obtain the Harnack and mean value inequalities on these manifolds.
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页数：33
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