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

doi:10.1016/S0252-9602(10)60171-3

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1776-1784.doi: 10.1016/S0252-9602(10)60171-3

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

钮鹏程¹, 王家林^{1, 2}

1. Department of Applied Mathematics, Northwestern Polytechnical University, |Xi'an 710072, |China

2. College of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China

收稿日期:2007-04-11 修回日期:2008-12-30 出版日期:2010-09-20 发布日期:2010-09-20
基金资助:
This work was supported by the National Natural Science Foundation of China (10871157), Research Fund for the Doctoral Program of
Higher Education of China (200806990032), and Keji Chuangxin Jijin of Northwestern Polytechnical University (2007KJ01012).

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

NIU Peng-Cheng¹, WANG Jia-Lin^{1, 2}

1. Department of Applied Mathematics, Northwestern Polytechnical University, |Xi'an 710072, |China

2. College of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China

Received:2007-04-11 Revised:2008-12-30 Online:2010-09-20 Published:2010-09-20
Supported by:
This work was supported by the National Natural Science Foundation of China (10871157), Research Fund for the Doctoral Program of
Higher Education of China (200806990032), and Keji Chuangxin Jijin of Northwestern Polytechnical University (2007KJ01012).

摘要/Abstract

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.

关键词: unique continuation, representation formula, spherical function, Carnot group, sub-Laplacian

Abstract:

Key words: unique continuation, representation formula, spherical function, Carnot group, sub-Laplacian

中图分类号:

35H20

钮鹏程, 王家林. ON UNIQUE CONTINUATION PROPERTIES FOR THE SUB-LAPLACIAN ON |CARNOT GROUPS[J]. 数学物理学报(英文版), 2010, 30(5): 1776-1784.

NIU Peng-Cheng, WANG Jia-Lin. ON UNIQUE CONTINUATION PROPERTIES FOR THE SUB-LAPLACIAN ON |CARNOT GROUPS[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1776-1784.

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

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

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