Repository logo
  • Log In
    New user? Click here to register.Have you forgotten your password?
University College Dublin
    Colleges & Schools
    Statistics
    All of DSpace
  • Log In
    New user? Click here to register.Have you forgotten your password?
  1. Home
  2. College of Science
  3. School of Mathematics and Statistics
  4. Mathematics and Statistics Research Collection
  5. A reflection result for harmonic functions which vanish on a cylindrical surface
 
  • Details
Options

A reflection result for harmonic functions which vanish on a cylindrical surface

Author(s)
Gardiner, Stephen J.  
Render, Hermann  
Uri
http://hdl.handle.net/10197/7703
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
Subjects

Harmonic continuation...

Green function

Cylindrical harmonics...

DOI
10.1016/j.jmaa.2016.05.007
Language
English
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/
File(s)
Loading...
Thumbnail Image
Name

cylinder_reflection1a.pdf

Size

142.84 KB

Format

Adobe PDF

Checksum (MD5)

2f1762c776fe43e92a794919bee6c964

Owning collection
Mathematics and Statistics Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
All other content is subject to copyright.

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science

  • Cookie settings
  • Privacy policy
  • End User Agreement