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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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.

作者钮鹏程王家林

机构地区 Department of Applied Mathematics College of Mathematics and Computer Science

出处《Acta Mathematica Scientia》 SCIE CSCD 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)

关键词 unique continuation representation formula spherical function Carnotgroup SUB-LAPLACIAN unique continuation representation formula spherical function Carnotgroup sub-Laplacian

分类号 O177 [理学—基础数学]

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参考文献3

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共引文献5

1王家林,廖冬妮.关于四元Heisenberg群上次Laplace算子的唯一延拓性(英文)[J].中国科学院研究生院学报,2008,25(1):1-11.
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1Zhang Songyan Tao Xiangxing (Ningbo University, China).ON DOUBLING PROPERTIES ANDTHE UNIQUE CONTINUATION AT THEBOUNDARY IN DINI DOMAINS[J].Analysis in Theory and Applications,2001,17(1):1-9.
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3Jia Lin WANG,Peng Cheng NIU.Unique Continuation Properties Operators with for Generalized Baouendi-Grushin Singular Weights[J].Acta Mathematica Sinica,English Series,2011,27(8):1637-1644.
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6Hairong LIU,Xiaoping YANG.Strong Unique Continuation of Sub-elliptic Operator on the Heisenberg Group[J].Chinese Annals of Mathematics,Series B,2013,34(3):461-478.
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Acta Mathematica Scientia

2010年第5期

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

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