Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions

DOI10.1137/0121045zbMath0235.31007OpenAlexW2001368410MaRDI QIDQ5644260

Kaiser S. Kunz

Publication date: 1971

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0121045

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (8)

Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical ⋮ On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical ⋮ Solutions of some partial differential equations with variable coefficients by properties of monogenic functions ⋮ Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical ⋮ Monogenic functions in commutative algebras associated with classical equations of mathematical physics ⋮ Commutative Algebras Associated with Classic Equations of Mathematical Physics ⋮ Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras ⋮ An extension of monogenic functions and spatial potentials

This page was built for publication: Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions