Biharmonic Green function of a ring domain

Authors

  • Tatyana S. Vaitekhovich

DOI:

https://doi.org/10.7146/math.scand.a-15137

Abstract

A biharmonic Green function of a circular ring domain R={zC:0<r<|z|<1} is found in the form 26741 \widehat{G}_{2}(z,\zeta)=|\zeta-z|^{2}G_{1}(z,\zeta)+\widehat{h}_{2}(z,\zeta), 26741 where G1(z,ζ) is the harmonic Green function of the ring R, and ˆh2(z,ζ) is a specially constructed biharmonic function.

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Published

2010-06-01

How to Cite

Vaitekhovich, T. S. (2010). Biharmonic Green function of a ring domain. MATHEMATICA SCANDINAVICA, 106(2), 267–282. https://doi.org/10.7146/math.scand.a-15137

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Articles