Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere

DOI10.1080/17476930701671726zbMath1157.31004OpenAlexW1970392490MaRDI QIDQ3535713

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Publication date: 14 November 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701671726

zbMATH Keywords

polyharmonic Green functionn-dimensional ballpolyharmonic Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Series solutions to PDEs (35C10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

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Cites Work

• Iterated Neumann problem for the higher order Poisson equation

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