ELLIPTIC GRADIENT ESTIMATES FOR DIFFUSION OPERATORS ON COMPLETE RIEMANNIAN MANIFOLDS

• 作 者: 钱斌
• 机 构: SchoolofMathematicsandStatistics,InstitutdeMathematiquesdeToulouse
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2010年5期
• 关键词: 梯度估计 扩散算子 完备黎曼流形 椭圆 计数 非紧黎曼流形 曲率条件 伯恩斯坦 gradient estimate Bakry-Emery curvature
• 基金项目: The author would like to thank China Scholarship Council for financial support （2007U13020）. Acknowledgements The author would like to express sincere thanks to Prof. X.D. Li for fruit conversations a

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 ker