A Characterization of the Khavinson-Shapiro Conjecture Via Fischer Operators

Files in This Item:
 File SizeFormat
Download2015RenderCharactKhavShapConj.pdf237.25 kBAdobe PDF
Title: A Characterization of the Khavinson-Shapiro Conjecture Via Fischer Operators
Authors: Render, Hermann
Permanent link: http://hdl.handle.net/10197/9584
Date: Oct-2016
Online since: 2019-01-07T14:04:27Z
Abstract: The Khavinson-Shapiro conjecture states that ellipsoids are the only bounded domains in euclidean space satisfying the following property (KS): the solution of the Dirichlet problem for polynomial data is polynomial. In this paper we show that property (KS) for a domain Ω is equivalent to the surjectivity of a Fischer operator associated to the domain Ω.
Type of material: Journal Article
Publisher: Springer
Journal: Potential Analysis
Volume: 45
Issue: 3
Start page: 539
End page: 543
Copyright (published version): 2017 Springer
Keywords: Dirichlet problemHarmonic extensionKhavinson-Shapiro conjecture
DOI: 10.1007/s11118-016-9555-0
Language: en
Status of Item: Peer reviewed
This item is made available under a Creative Commons License: https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Appears in Collections:Mathematics and Statistics Research Collection

Show full item record

Citations 50

Last Week
Last month
checked on Sep 11, 2020

Page view(s)

Last Week
Last month
checked on Aug 12, 2022


checked on Aug 12, 2022

Google ScholarTM



If you are a publisher or author and have copyright concerns for any item, please email research.repository@ucd.ie and the item will be withdrawn immediately. The author or person responsible for depositing the article will be contacted within one business day.