Strong Unique Continuation of Sub-elliptic Operator on the Heisenberg Group

作     者：Hairong LIU Xiaoping YANG 

作者机构：School of Science Nanjing University of Science and Technology School of Science Nanjing Forestry University 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2013年第34卷第3期

页      面：461-478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：Project supported by the National Natural Science Foundation of China (Nos. 11071119  11101132) 

主　　题：Heisenberg group Frequency function Doubling condition Strongunique continuation principle 

摘      要：In this paper, the Almgren＇s frequency function of the following sub-elliptic equation with singular potential on the Heisenberg group：-Cu＋V（z,t）u=Xi（aij（z,t）Xju）＋V（z,t）u=0 is introduced. The monotonicity property of the frequency is established and a doubling condition is obtained. Consequently, a quantitative proof of the strong unique continuation property for such equation is given.