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Riemann Boundary Value Problems for Triharmonic Functions in Clifford Analysis

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Abstract

In this paper, we study the R m (m > 0) Riemann boundary value problem for triharmonic functions with values in a universal Clifford algebra Cl(V n,n ). By using the Plemelj formula and generalized Liouville theorem for triharmonic functions, the explicit representation of solution of this problem is given.

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Authors and Affiliations

  1. Zhang School of Mathematics and Statistics, Wuhan University, 430072, Wuhan Hubei, P.R. China

    Longfei Gu, Jinyuan Du & Zhongxiang Zhang

Authors
  1. Longfei Gu
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  2. Jinyuan Du
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  3. Zhongxiang Zhang
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Corresponding author

Correspondence to Longfei Gu.

Additional information

Research supported by NNSF for Young Scholars of China (No.11001206), National Natural Science Foundation of China (10871150) and RFDP of Higher education of China (20100141110054).

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Gu, L., Du, J. & Zhang, Z. Riemann Boundary Value Problems for Triharmonic Functions in Clifford Analysis. Adv. Appl. Clifford Algebras 23, 77–103 (2013). https://doi.org/10.1007/s00006-012-0336-6

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  • DOI: https://doi.org/10.1007/s00006-012-0336-6

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