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The exterior Calderón operator for non-spherical objects

Kristensson, Gerhard LU ; Stratis, Ioannis; Wellander, Niklas LU and Yannacopoulos, Athanasios (2017) In Technical Report LUTEDX/(TEAT-7259)/1-43/(2017) TEAT-7259.
Abstract (Swedish)
This paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of finding the norm of the exterior Calderón operator for this class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues of the Laplace-Beltrami operator for the surface. The norm is obtained as an eigenvalue problem of a quadratic form containing the exterior Calderón operator. The connection of the exterior Calderón to the transition matrix for a perfectly conducting surface is analyzed.
Abstract
This paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of nding the norm of the exterior Calderón operator for this class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues of the Laplace-Beltrami operator for the surface. The norm is obtained as an eigenvalue problem of a quadratic form containing the exterior Calderón operator. The connection of the exterior Calderón to the transition matrix for a perfectly conducting surface is analyzed.
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7259)/1-43/(2017)
volume
TEAT-7259
pages
43 pages
publisher
The Department of Electrical and Information Technology
language
English
LU publication?
yes
id
b257b6ee-f868-4a66-9b89-810a241f0aed
date added to LUP
2017-10-13 09:18:07
date last changed
2018-03-28 13:30:35
@techreport{b257b6ee-f868-4a66-9b89-810a241f0aed,
  abstract     = {This paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of nding the norm of the exterior Calderón operator for this class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues of the Laplace-Beltrami operator for the surface. The norm is obtained as an eigenvalue problem of a quadratic form containing the exterior Calderón operator. The connection of the exterior Calderón to the transition matrix for a perfectly conducting surface is analyzed.<br/>},
  author       = {Kristensson, Gerhard and Stratis, Ioannis and Wellander, Niklas and Yannacopoulos, Athanasios},
  institution  = {The Department of Electrical and Information Technology},
  language     = {eng},
  pages        = {43},
  series       = {Technical Report LUTEDX/(TEAT-7259)/1-43/(2017)},
  title        = {The exterior Calderón operator for non-spherical objects},
  volume       = {TEAT-7259},
  year         = {2017},
}