Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball
type: Item
instance of: scholarly article
title: Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball
zbMATH Open document ID: 1276.35070
DOI: 10.1134/S0012266113020122
author: N. A. Antropova
author: Valery V. Karachik
published in: Differential Equations
publication date: 2013-06-17T00:00:00Z
review text: The authors find a polynomial solution to the Dirichlet problem for the biharmonic equation with polynomial right-hand side and polynomial boundary data in the unit ball. The approach relies on a closed-form representation of harmonic functions in the Almansi formula.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 31A30
zbMATH DE Number: 6176444
zbMATH Keywords: biharmonic equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: representation of harmonic functions
Wikidata QID: Q115252063
MaRDI profile type: Publication
cites work: Q3994682
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full work available at URL: s0012266113020122
OpenAlex ID: W1992669937
description: scientific article; zbMATH DE number 6176444