Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
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
Published in
Potential AnalysisDate
2022Discipline
Inversio-ongelmien huippuyksikköMatematiikkaCentre of Excellence in Inverse ProblemsMathematicsCopyright
© The Author(s) 2022
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.
Publisher
Springer Science and Business Media LLCISSN Search the Publication Forum
0926-2601Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/164773198
Metadata
Show full item recordCollections
Additional information about funding
Open access funding provided by Royal Institute of Technology.License
Except where otherwise noted, this item's license is described as CC BY 4.0