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Journal of University of Chinese Academy of Sciences ›› 2008, Vol. 25 ›› Issue (1): 1-11.DOI: 10.7523/j.issn.2095-6134.2008.1.001

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

WANG Jia-liny, LIAO Dong-ni   

  1. 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:1900-01-01 Revised:1900-01-01 Online:2008-01-15

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.

CLC Number: