Riemann boundary value problem for harmonic functions in Clifford analysis |
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| Authors: | Gu Longfei Zhang Zhongxiang |
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| Institution: | 1. School of Science, Linyi University, , Linyi Shandong 276000, P. R. China;2. School of Mathematics and Statistics, Wuhan University, , Wuhan Hubei 430072, P. R. China |
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| Abstract: | In this article, we mainly deal with the boundary value problem for harmonic function with values in Clifford algebra: ![urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0001]( "urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0001") where  is a Liapunov surface in  , the Dirac operator  ,  are unknown functions with values in a universal Clifford algebra  Under some assumptions, we show that the boundary value problem is solvable. |
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| Keywords: | Universal Clifford algebra boundary value problem Hö lder continuous 30G35 |
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