On Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball-Reference-Cited by-同舟云学术

On Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball

Published:2023-05-31 Issue:6 Volume:12 Page:543
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Karachik Valery¹^ORCID

Affiliation:

1. Department of Mathematical Analysis and Methods of Teaching Mathematics, South Ural State University, 454080 Chelyabinsk, Russia

Abstract

The paper gives an explicit representation of the Green’s function of the Dirichlet boundary value problem for the polyharmonic equation in the unit ball. The solution of the homogeneous Dirichlet problem is found. An example of solving the homogeneous Dirichlet problem with the simplest polynomial right-hand side of the polyharmonic equation is given.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/6/543/pdf

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