Approximation of weak solutions of the Laplace equation by harmonic polynomials

DOI10.1134/S0965542521010036zbMath1462.35154OpenAlexW3144356803MaRDI QIDQ2662807

M. E. Bogovskiĭ

Publication date: 15 April 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521010036

zbMATH Keywords

approximation by harmonic polynomialsweak solutions of the Laplace equation

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Functional analysis and partial differential equations. II
• Approximation of potential and solenoidal vector fields
• On the approximation of functions in the space \(W^r_p(\Omega)\) by functions with compact support for an arbitrary open set \(\Omega\)
• Harmonic Function Theory
• Approximation by Solutions of Partial Differential Equations
• Spherical Harmonics in p Dimensions
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