Biharmonic Green function of a ring domain

• Autores: Tatyana S. Vaitekhovich
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 106, Nº 2, 2010, págs. 267-282
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15137
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• Resumen

  • A biharmonic Green function of a circular ring domain R = { z ∈ 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 G1(z,ζ) is the harmonic Green function of the ring R, and hˆ2(z,ζ) is a specially constructed biharmonic function.