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The Scientific World Journal
Volume 2014, Article ID 415052, 6 pages
http://dx.doi.org/10.1155/2014/415052
Research Article

Riemann Boundary Value Problem for Triharmonic Equation in Higher Space

Department of Mathematics, Linyi University, Linyi, Shandong 276000, China

Received 18 January 2014; Revised 19 June 2014; Accepted 19 June 2014; Published 8 July 2014

Academic Editor: Argiris I. Delis

Copyright © 2014 Longfei Gu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We mainly deal with the boundary value problem for triharmonic function with value in a universal Clifford algebra: , , , , , , , where    is a Lyapunov surface in , is the Dirac operator, and are unknown functions with values in a universal Clifford algebra Under some hypotheses, it is proved that the boundary value problem has a unique solution.