Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures

作     者：WANG FengYu 1,2 1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China 2 Department of Mathematics,Swansea University,Singleton Park,Swansea SA2 8PP,UK 

作者机构：School of Mathematical Sciences Beijing Normal University Department of Mathematics Swansea University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2010年第53卷第4期

页      面：895-904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：supported by Science Fund for Creative Research Groups of National Natural Science Foundation of China (No.10121101) National Basic Research Program of China(Grant No.2006CB805901) 

主　　题：intrinsic ultracontractivity intrinsic super-Poincar’e inequality Riemannian manifold diffusion semigroup 

摘      要：By establishing the intrinsic super-Poincar e inequality,some explicit conditions are presented for diffusion semigroups on a non-compact complete Riemannian manifold to be intrinsically *** conditions,as well as the resulting uniform upper bounds on the intrinsic heat kernels,are sharp for some concrete examples.