biharmonic green function
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2010 ◽  
Vol 106 (2) ◽  
pp. 267 ◽  
Author(s):  
Tatyana S. Vaitekhovich

A biharmonic Green function of a circular ring domain $R=\{z\in \mathsf {C}: 0<r<|z|<1\}$ 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 $G_{1}(z,\zeta)$ is the harmonic Green function of the ring $R$, and $\widehat{h}_{2}(z,\zeta)$ is a specially constructed biharmonic function.



2004 ◽  
Vol 82 (3) ◽  
pp. 240-244 ◽  
Author(s):  
A. Olofsson


SIAM Review ◽  
1994 ◽  
Vol 36 (1) ◽  
pp. 99-101 ◽  
Author(s):  
Harold S. Shapiro ◽  
Max Tegmark


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