Acta mathematica scientia, Series B >
ON UNIQUE CONTINUATION PROPERTIES FOR THE SUB-LAPLACIAN ON |CARNOT GROUPS
Received date: 2007-04-11
Revised date: 2008-12-30
Online 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).
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.
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 . DOI: 10.1016/S0252-9602(10)60171-3
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