A simple solution method for the first boundary value problem of the polyharmonic equation

DOI10.1080/00036819108840020zbMath0724.31004OpenAlexW2045996549WikidataQ58264130 ScholiaQ58264130MaRDI QIDQ5758444

Steven H. Schot

Publication date: 1991

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840020

zbMATH Keywords

polyharmonic equationGoursat-Almansi formula

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Integral representations of solutions to PDEs (35C15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (2)

The first boundary value problem for the lterated helmholtz equation in a half ⋮ Generalized Poisson integral and sharp estimates for harmonic and biharmonic functions in the half-space

Cites Work

• Integraldarstellung einerm-polyharmonischen Funktion, deren Funktionswerte und erstem-1 Normalableitungen auf einer Hypersphäre gegeben sind
• Eine Integraldarstellung der Lösung der Dirichletschen Aufgabe bei der Polypotentialgleichung im Falle einer Hyperkugel

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