on Unique Continuation Properties for the Sub-Laplacian on the Quaternionic Heisenberg Group

WANG Jia-liny; LIAO Dong-ni

doi:10.7523/j.issn.2095-6134.2008.1.001

Journal of University of Chinese Academy of Sciences >

2008 , Vol. 25 >Issue 1: 1 - 11

DOI: https://doi.org/10.7523/j.issn.2095-6134.2008.1.001

on Unique Continuation Properties for the
Sub-Laplacian on the Quaternionic Heisenberg Group

WANG Jia-liny ,
LIAO Dong-ni

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Department of Applied Mathematics, Northwestern
Polytechnical University, Xi’an,710072, China

Department of mathematics and information, Institute of Science and
Technology, GanNan Normal University,Ganzhou, 341000, China

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2008-01-15

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Abstract

In this paper, representation formulas and properties for the sub-Laplacian on
quaternionic Heisenberg groups are established and then some unique continuation results
to solutions of sub-Laplace equations with potentials are given.

Cite this article

WANG Jia-liny , LIAO Dong-ni . on Unique Continuation Properties for the
Sub-Laplacian on the Quaternionic Heisenberg Group[J]. Journal of University of Chinese Academy of Sciences, 2008 , 25(1) : 1 -11 . DOI: 10.7523/j.issn.2095-6134.2008.1.001

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