ELLIPTIC GRADIENT ESTIMATES FOR DIFFUSION OPERATORS ON COMPLETE RIEMANNIAN MANIFOLDS

作     者：钱斌 Qian Bin School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China Institut de Math′ematiques de Toulouse,Universit′e de Toulouse,CNRS 5219,France

作者机构：School of Mathematics and StatisticsWuhan University Institut de Math'ematiques de ToulouseUniversit'e de Toulouse 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2010年第30卷第5期

页      面：1555-1560页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：China Scholarship Council for financial support(2007U13020) 

主　　题：gradient estimate Bakry-Emery curvature diffusion operator 

摘      要：In this note, we obtain the elliptic estimate for diffusion operator L = △＋△Ф·△ 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 SchrSdinger-type gradient is also derived.