ELLIPTIC GRADIENT ESTIMATES FOR DIFFUSION OPERATORS ON COMPLETE RIEMANNIAN MANIFOLDS

被引：0

作者：

Qian Bin ^{[1
,2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Univ Toulouse, CNRS 5219, Inst Math Toulouse, Toulouse, France

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 05期

关键词：

gradient estimate; Bakry-Emery curvature; diffusion operator; THEOREM; KERNEL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we obtain the elliptic estimate for diffusion operator L = Delta + del phi . del on complete, noncompact Riemannian manifolds, under the curvature condition CD(K, m), which generalizes B. L. Kotschwar's work [5]. As an application, we get estimate on the heat kernel. The Bernstein-type gradient estimate for Schrodinger-type gradient is also derived.

引用

页码：1555 / 1560

页数：6

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