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

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.

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Bibliographic Details
Published inActa mathematica scientia Vol. 30; no. 5; pp. 1776 - 1784
Main Author 钮鹏程 王家林
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2010
Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China%Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China
College of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China
Subjects
35H20
Carnot group
Laplace算子
Mathematical analysis
representation formula
Representations
spherical function
sub-Laplacia
unique continuation
拉普拉斯方程
representation formula
spherical function
sub-Laplacia
35H20
Carnot group
unique continuation
sub-Laplacian
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Summary: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.
Bibliography:Carnotgroup
unique continuation; representation formula; spherical function; Carnotgroup; sub-Laplacian
unique continuation
O177
O186.12
representation formula
sub-Laplacian
spherical function
42-1227/O
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(10)60171-3