Biharmonic extensions on trees without positive potentials
type: Item
instance of: scholarly article
title: Biharmonic extensions on trees without positive potentials
zbMATH Open document ID: 1220.31005
author: I. Bajunaid
author: Joel M. Cohen
author: Flavia Colonna
author: David Singman
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-03-29T00:00:00Z
review text: A basic question in potential theory is the following: Given a function harmonic outside a compact set, is there a natural way to associate a global harmonic function to it? In the classical theory, this question is answered when the ambient space is an open subset of \(\mathbb{R}^n\), \(n\geq 2\). In the present paper, the analogous question for biharmonic functions on trees without positive potentials is studied.
reviewed by: Sophia L. Kalpazidou
Mathematics Subject Classification ID: 31A30
zbMATH DE Number: 5871227
zbMATH Keywords: biharmonic function
zbMATH Keywords: trees
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.12.026
OpenAlex ID: W2094842689
cites work: Harmonic Function Theory
cites work: Integral Geometry on Trees
cites work: Biharmonic extensions in Riemannian manifolds
cites work: Trees as Brelot spaces.
cites work: Corrigendum to ``Trees as Brelot spaces''
cites work: Q4769263
cites work: Biharmonic and polyharmonic principal functions
cites work: A global Riesz decomposition theorem on trees without positive potentials
cites work: Q5528211
DOI: 10.1016/J.JMAA.2010.12.026
description: scientific article; zbMATH DE number 5871227