ELLIPTIC GRADIENT ESTIMATES FOR DIFFUSION OPERATORS ON COMPLETE RIEMANNIAN MANIFOLDS

被引：0

作者：

钱斌

机构：

[1] Institut de Math′ematiques de Toulouse,Universit′e de Toulouse

[2] School of Mathematics and Statistics,Wuhan University

来源：

Acta Mathematica Scientia | 2010年 / 30卷 / 05期

关键词：

gradient estimate; Bakry-Emery curvature; diffusion operator;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

In this note,we obtain the elliptic estimate for diffusion operator L=△+φ on complete,noncompact Riemannian manifolds,under the curvature condition C D(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 Schro¨dinger-type gradient is also derived.

引用

页码：1555 / 1560

页数：6

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