Estimate of an Hypoelliptic Heat-Kernel outside the Cut-Locus in Semi-Group Theory

作     者：Remi Leandre 

作者机构：Laboratoire de MathematiquesUniversite de Franche-ComteBesanconFrance 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2012年第3卷第12期

页      面：2063-2070页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Subriemannian Geometry Heat-Kernels 

摘      要：We give a proof in semi-group theory based on the Malliavin Calculus of Bismut type in semi-group theory and Wentzel-Freidlin estimates in semi-group of our result giving an expansion of an hypoelliptic heat-kernel outside the cut-locus where Bismut’s non-degeneray condition plays a preominent role.