Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
Abstract
In this paper, we introduce quadrature domains for the Helmholtz equation. We show existence results for such domains and implement the so-called partial balayage procedure. We also give an application to inverse scattering problems, and show that there are non-scattering domains for the Helmholtz equation at any positive frequency that have inward cusps.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
Springer Science and Business Media LLC
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202301031074Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0926-2601
DOI
https://doi.org/10.1007/s11118-022-10054-5
Language
English
Published in
Potential Analysis
Citation
- Kow, P.-Z., Larson, S., Salo, M., & Shahgholian, H. (2022). Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena. Potential Analysis, Early online. https://doi.org/10.1007/s11118-022-10054-5
License
Additional information about funding
Open access funding provided by Royal Institute of Technology.
Copyright© The Author(s) 2022