A compactly supported solution to a three-dimensional uniformly elliptic equation without zero-order term
type: Item
instance of: scholarly article
title: A compactly supported solution to a three-dimensional uniformly elliptic equation without zero-order term
zbMATH Open document ID: 1056.35034
author: Cristina Giannotti
published in: Journal of Differential Equations
publication date: 2004-08-10T00:00:00Z
review text: The author constructs for any \(1< p< 3\) a second-order, nonvariational, elliptic operator \(L\) and a function \(V\) in \(\mathbb{R}^3\) with the following properties: the operator \(L\) is uniformly elliptic, without zero-order term and smooth almost everywhere in \(\mathbb{R}^3\), the function \(V\) is in \(W^{2,p}(\mathbb{R}^3)\), solves the equation \(LV= 0\) in \(\mathbb{R}^3\), it has compact support but it is not identically zero.
Mathematics Subject Classification ID: 35B60
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 2085852
zbMATH Keywords: non-unique continuation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jde.2003.12.003
OpenAlex ID: W2060911541
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DOI: 10.1016/J.JDE.2003.12.003
description: scientific article; zbMATH DE number 2085852