Integral operators determined by quasielliptic equations. I
type: Item
instance of: scholarly article
title: Integral operators determined by quasielliptic equations. I
zbMATH Open document ID: 0820.47053
DOI: 10.1007/BF00973468
published in: Siberian Mathematical Journal
publication date: 1994-11-08T00:00:00Z
review text: Families of integral operators generated by quasielliptic equations are studied in a special scale of weighted Sobolev spaces on \(\mathbb{R}^ n\). The results are applied to investigating solutions of the quasielliptic equations \[ L(D_ x) u= f(x),\qquad x\in \mathbb{R}^ n, \] in mentioned spaces.
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 652215
zbMATH Keywords: families of integral operators generated by quasielliptic equations
zbMATH Keywords: scale of weighted Sobolev spaces
zbMATH Keywords: solutions of the quasielliptic equations
author: G. V. Demidenko
reviewed by: Boris Rubin
MaRDI profile type: Publication
cites work: Q5802809
cites work: Symmetric positive linear differential equations
cites work: The null spaces of elliptic partial differential operators in R\(^n\)
cites work: Q3882984
cites work: The behavior of the laplacian on weighted sobolev spaces
cites work: Boundary value problems for the laplacian in an exterior domain
cites work: Fredholm properties of a class of elliptic operators on non-compact manifolds
cites work: Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
cites work: Q3854004
cites work: Q3994668
cites work: Q5604047
cites work: Q5526466
full work available at URL: https://doi.org/10.1007/bf00973468
OpenAlex ID: W4230808427
Recommended article: Integral operators determined by quasielliptic equations. II
Recommended article: Q4881173
Recommended article: Q4889661
Recommended article: Q4278647
Recommended article: Q5391618
Recommended article: Q3068285
Recommended article: Q3700122
Recommended article: Q3327223
Recommended article: Onq-Laplace type integral operators and their applications
Recommended article: Q3479077
description: scientific article; zbMATH DE number 652215