Well-posed problems for the Laplace operator in a punctured disk
type: Item
instance of: scholarly article
title: Well-posed problems for the Laplace operator in a punctured disk
zbMATH Open document ID: 1244.35031
DOI: 10.1134/S0001434611050233
published in: Mathematical Notes
publication date: 2011-11-25T00:00:00Z
review text: Nonstandard boundary value problems are studied for the Poisson equation on a planar ball \(\Omega \). It is proved that if this problem has a unique stable solution, then there exists a continuous linear operator \(K\) from \(L^2 (\Omega )\) to \(W^{2,2}(\Omega )\) such that this problem takes the form \(\Delta u=f\) in \(\Omega \), \(u=K(f)\) on \(\partial \Omega \).
reviewed by: Dagmar Medková
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 5980830
zbMATH Keywords: Poisson equation
zbMATH Keywords: Laplace operator
zbMATH Keywords: well-posed solvable boundary-value problem
zbMATH Keywords: punctured disk
zbMATH Keywords: nonhomogeneous Laplace equation
zbMATH Keywords: Dirichlet boundary condition
zbMATH Keywords: Green function
zbMATH Keywords: Dirac function
author: B. E. Kanguzhin
author: Almir A. Aniyarov
MaRDI profile type: Publication
cites work: Q5763794
cites work: Q3675004
cites work: Q4656592
description: scientific article; zbMATH DE number 5980830