Dense subsets of \({\mathcal L}^1\)-solutions to linear elliptic partial differential equations
type: Item
instance of: scholarly article
title: Dense subsets of \({\mathcal L}^1\)-solutions to linear elliptic partial differential equations
zbMATH Open document ID: 0956.35030
author: Henrik Shahgholian
published in: Journal of Approximation Theory
publication date: 2001-03-07T00:00:00Z
review text: The author gives a geometric condition for an unbounded domain \(\Omega\subset \mathbb{R}^N\) in order that the rapidly decreasing \(L^1\)-solutions of an elliptic homogeneous operator of order \(m\) approximate all \(L^1\)-solutions of this operator.
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 31B99
Mathematics Subject Classification ID: 35A35
zbMATH DE Number: 1423441
zbMATH Keywords: elliptic operators
zbMATH Keywords: approximation of solutions
zbMATH Keywords: polyanalytic functions
reviewed by: Niels Jacob
MaRDI profile type: Publication
full work available at URL: jath.1999.3408
OpenAlex ID: W2041881719
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DOI: 10.1006/JATH.1999.3408
description: scientific article; zbMATH DE number 1423441