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Harmonic Dirichlet Problem in a Ring Sector

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Current Trends in Analysis and Its Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

In this paper, we construct a harmonic Green function by reflection method in a general ring sector with angle \(\theta=\frac{\pi}{\alpha}\) and \(\alpha\geq \frac{1}{2}\), then the related harmonic Dirichlet problem for the Poisson equation is discussed explicitly.

This work was completed with the support of Tian Yuan Foundation (#11326087) and NNSF (#11171260) of China.

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References

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Author information

Authors and Affiliations

  1. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, 430073, China

    Ying Wang

  2. Department of Mathematics, Wuhan University, Wuhan, 430072, China

    Jinyuan Du

Authors
  1. Ying Wang
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  2. Jinyuan Du
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Corresponding author

Correspondence to Ying Wang .

Editor information

Editors and Affiliations

  1. Dept. of Computer Sc. & Comp. Methods, Pedagogical University, KrakĂłw, Poland

    Vladimir V. Mityushev

  2. Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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Wang, Y., Du, J. (2015). Harmonic Dirichlet Problem in a Ring Sector. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_10

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