Options
A reflection result for harmonic functions which vanish on a cylindrical surface
Author(s)
Date Issued
2016-11
Abstract
Suppose that a harmonic function h on a finite cylinder U vanishes on the curved part A of the boundary. It was recently shown that h then has a harmonic continuation to the infinite strip bounded by the hyperplanes containing the flat parts of the boundary. This paper examines what can be said if the above function h is merely harmonic near A (and inside U). It is shown that h then has a harmonic extension to a larger domain formed by radial reflection.
Type of Material
Journal Article
Publisher
Elsevier
Journal
Journal of Mathematical Analysis and Applications
Volume
443
Issue
1
Start Page
81
End Page
91
Copyright (Published Version)
2016 Elsevier
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
File(s)
Loading...
Name
cylinder_reflection1a.pdf
Size
142.84 KB
Format
Adobe PDF
Checksum (MD5)
2f1762c776fe43e92a794919bee6c964
Owning collection