Asymptotic behavior of the divergence on loop spaces over a compact Riemannian manifold  

作　　者：LI Xiangdong Probability Laboratory, Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China 

出　　处：《Chinese Science Bulletin》1998年第4期272-274,共3页

基　　金：ThisworkwassupportedpartiallybytheNationalNaturalScienceFoundationofChinaandMathematicalCenterofStateEducationCommission .

摘　　要：The asymptotic behavior of the divergence on loop space is studied over a compact Riemannian manifold via quasi_sure analysis. A Sobolev estimate plays a crucial role.The asymptotic behavior of the divergence on loop space is studied over a compact Riemannian manifold via quasi_sure analysis. A Sobolev estimate plays a crucial role.

关 键 词：DIVERGENCE EXPONENTIAL INTEGRABILITY SOBOLEV estimate. 

分 类 号：O186.1[理学—数学]