Solution of overdetermined and underdetermined elliptic problems with nonsmooth data
type: Item
instance of: scholarly article
title: Solution of overdetermined and underdetermined elliptic problems with nonsmooth data
zbMATH Open document ID: 0704.35106
DOI: 10.1007/BF01056278
author: S. Ya. L'vin
author: Selim G. Krein
published in: Ukrainian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: Let \(G\) be a bounded domain with smooth boundary \(\Gamma\) in \(\mathbb R^ k\). The paper deals with the boundary value problem \(A(x,D)u(x)=f_ 0(x)\) in \(G\) and \(B(x,D)u(x)=\phi(x)\) on \(\Gamma\), where \(u(x)\) is an unknown \(n\)-dimensional vector function and the matrices \(A(x,D)\) and \(B(x,D)\) consist of linear differential operators.
Mathematics Subject Classification ID: 35N10
Mathematics Subject Classification ID: 35J30
zbMATH DE Number: 4155053
zbMATH Keywords: overdetermined
zbMATH Keywords: underdetermined elliptic problems
zbMATH Keywords: nonsmooth data
zbMATH Keywords: Sobolev space
zbMATH Keywords: Green's formula
reviewed by: A. Klíč
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4155053