Completeness of a system of root functions of a nonlocal problem in \(L_ p\).
type: Item
instance of: scholarly article
title: Completeness of a system of root functions of a nonlocal problem in \(L_ p\).
zbMATH Open document ID: 1033.35080
DOI: 10.1023/A:1015872912925
author: V. V. Pod'yapol'skiĭ
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: This paper is devoted to the properties of expansions in the root functions of nonlocal elliptic problems. To this end the author introduces operators acting on the Sobolev spaces \(W^s_q(\Omega)\) and shows that under certain assumptions, all these operators have the same root function systems. Thus he gives sufficient conditions for the completeness of the root function system for nonlocal elliptic problems in the Sobolev spaces \(W^\ell_p(Q)\).
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 1928225
zbMATH Keywords: nonlocal problem in \(L^p\)
zbMATH Keywords: root function
zbMATH Keywords: completeness theorem
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: a:1015872912925
OpenAlex ID: W2911552381
description: scientific article; zbMATH DE number 1928225