Volume 287, Issue 8-9 pp. 1001-1012

Original Paper

Riemann boundary value problem for harmonic functions in Clifford analysis

Gu Longfei,

Corresponding Author

Gu Longfei

School of Science, Linyi University, Linyi Shandong 276000, P. R. China

Corresponding author: e-mail: [email protected]Search for more papers by this author

Zhang Zhongxiang,

Zhang Zhongxiang

[email protected]

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

Search for more papers by this author

Gu Longfei,

Corresponding Author

Gu Longfei

School of Science, Linyi University, Linyi Shandong 276000, P. R. China

Corresponding author: e-mail: [email protected]Search for more papers by this author

Zhang Zhongxiang,

Zhang Zhongxiang

[email protected]

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

Search for more papers by this author

First published: 11 March 2014

https://doi.org/10.1002/mana.201100302

Citations: 15

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Abstract

In this article, we mainly deal with the boundary value problem for harmonic function with values in Clifford algebra:

$urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0001$

where $urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0002$ is a Liapunov surface in $urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0003$ , the Dirac operator $urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0004$ , $urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0005$ are unknown functions with values in a universal Clifford algebra $urn:x-wiley:dummy:mana201100302:equation:mana201100302-math-0006$ Under some assumptions, we show that the boundary value problem is solvable.

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Volume287, Issue8-9

June 2014

Pages 1001-1012

Riemann boundary value problem for harmonic functions in Clifford analysis

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Riemann boundary value problem for harmonic functions in Clifford analysis

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