Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball
type: Item
instance of: scholarly article
title: Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball
zbMATH Open document ID: 1331.35118
DOI: 10.1134/S0012266115080078
author: Valery V. Karachik
published in: Differential Equations
publication date: 2015-12-16T00:00:00Z
review text: The author obtains explicit formulae for the solution of the Dirichlet problem in the unit ball subject to polynomial data. This is achieved by computing the intermediate powers of the Laplace operator for some auxiliary polynomials related to the initial data of the original problem.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 31B30
zbMATH DE Number: 6521404
zbMATH Keywords: polyharmonic operator
zbMATH Keywords: Dirichlet boundary condition
zbMATH Keywords: polynomial data
zbMATH Keywords: unit ball
Wikidata QID: Q115251463
MaRDI profile type: Publication
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full work available at URL: s0012266115080078
OpenAlex ID: W2206649249
description: scientific article; zbMATH DE number 6521404