ON UNIQUE CONTINUATION PROPERTIES FOR THE SUB-LAPLACIAN ON CARNOT GROUPS  

作　　者：钮鹏程 王家林 

机构地区：[1]Department of Applied Mathematics,Northwestern Polytechnical University [2]College of Mathematics and Computer Science,Gannan Normal University

出　　处：《Acta Mathematica Scientia》2010年第5期1776-1784,共9页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(10871157);Research Fund for the Doctoral Program of Higher Education of China(200806990032);Keji Chuangxin Jijin of Northwestern Polytechnical University(2007KJ01012)

摘　　要：In this article, authors begin with establishing representation formulas and properties for functions on Carnot groups. Then, some unique continuation results to solutions of sub-Laplace equations with potentials are proved.In this article, authors begin with establishing representation formulas and properties for functions on Carnot groups. Then, some unique continuation results to solutions of sub-Laplace equations with potentials are proved.

关 键 词：unique continuation representation formula spherical function Carnotgroup SUB-LAPLACIAN 

分 类 号：O177[理学—数学]