锥中与稳态的薛定谔算子相关的容度与广义Green能量（英文）  

Capacity and the Generalized Green Energy for the Stationary Schr?dinger Operator in a Cone

作　　者：龙品红 韩惠丽 

机构地区：[1]宁夏大学数学统计学院,银川宁夏750021

出　　处：《数学进展》2017年第6期908-918,共11页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11271045,No.11261041,No.11461053);the Natural Science Foundations of Ningxia(No.N215055);Research Starting Funds for Imported Talents of Ningxia University

摘　　要：本文首先引入了与稳态的薛定谔算子相关的广义容度和Green能量,然后得到它们和概率测度间的相互关系.进而,利用容度工具刻画了锥中与稳态的薛定谔算子相关的极细集和稀疏集.We introduce the definition of capacity and Green energy associated with the stationary Schrodinger operator, and deduce their relations with the probability measure. Moreover, by this tool of capacity we continue to characterize the minimally thin sets and rarefied sets associated with the stationary SchrSdinger operator in a cone.

关 键 词：稳态的薛定谔算子 Green能量 容度 极细集 稀疏集 

分 类 号：O174.3[理学—数学]