The exterior Calderón operator for non-spherical objects
(2020) In SN Partial Differential Equations and Applications 1(6).- Abstract
- This paper deals with the exterior Calderón operator for not necessarily spherical domains. We present a new approach of finding the norm of the exterior Calderón operator for a wide class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues to the Laplace–Beltrami operator for the surface. The norm is obtained in view of an eigenvalue problem of a quadratic form containing the exterior Calderón operator. The connection of the exterior Calderón operator to the transition matrix for a perfectly conducting surface is analyzed.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/cbd295e5-ede4-4541-9b6c-0388a71e411b
- author
- Kristensson, Gerhard LU ; Stratis, Ioannis ; Wellander, Niklas and Yannacopoulos, Athanasios
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- in
- SN Partial Differential Equations and Applications
- volume
- 1
- issue
- 6
- pages
- 32 pages
- publisher
- Springer
- external identifiers
-
- scopus:85095336237
- ISSN
- 2662-2963
- DOI
- 10.1007/s42985-019-0005-x
- language
- English
- LU publication?
- yes
- id
- cbd295e5-ede4-4541-9b6c-0388a71e411b
- date added to LUP
- 2018-03-26 15:54:21
- date last changed
- 2023-05-30 04:03:25
@article{cbd295e5-ede4-4541-9b6c-0388a71e411b, abstract = {{This paper deals with the exterior Calderón operator for not necessarily spherical domains. We present a new approach of finding the norm of the exterior Calderón operator for a wide class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues to the Laplace–Beltrami operator for the surface. The norm is obtained in view of an eigenvalue problem of a quadratic form containing the exterior Calderón operator. The connection of the exterior Calderón operator to the transition matrix for a perfectly conducting surface is analyzed.}}, author = {{Kristensson, Gerhard and Stratis, Ioannis and Wellander, Niklas and Yannacopoulos, Athanasios}}, issn = {{2662-2963}}, language = {{eng}}, number = {{6}}, publisher = {{Springer}}, series = {{SN Partial Differential Equations and Applications}}, title = {{The exterior Calderón operator for non-spherical objects}}, url = {{http://dx.doi.org/10.1007/s42985-019-0005-x}}, doi = {{10.1007/s42985-019-0005-x}}, volume = {{1}}, year = {{2020}}, }