On integral representations of correct restrictions and regular extensions of differential operators
type: Item
instance of: scholarly article
title: On integral representations of correct restrictions and regular extensions of differential operators
zbMATH Open document ID: 1204.47060
DOI: 10.1134/S1064562410010266
author: Sumit K. Garg
published in: Doklady Mathematics
publication date: 2010-11-17T00:00:00Z
review text: In the paper under review, the authors, by using fundamental solutions, obtain integral representations for the elements of the correct restriction and the regular extension of the differential equations \[ Lu= \sum_{|\alpha|\leq p} a_\alpha(x)D^\alpha u=f(x) \] and \[ L^+u= \sum_{|\alpha|\leq p} (-1)^{|\alpha|} D^\alpha( a_\alpha(x) u)=g(x), \] where \(a_\alpha(x)\in C^p(\overline\Omega)\) and \(\Omega\subset\mathbb R^n\) is a smooth domain.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 5816870
zbMATH Keywords: regular extensions
zbMATH Keywords: correct restrictions
zbMATH Keywords: integral representations
MaRDI profile type: Publication
cites work: Q5515695
full work available at URL: s1064562410010266
OpenAlex ID: W2017662253
description: scientific article; zbMATH DE number 5816870