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 inPotential Analysis
DisciplineInversio-ongelmien huippuyksikköMatematiikkaCentre of Excellence in Inverse ProblemsMathematics
© 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.
PublisherSpringer Science and Business Media LLC
Publication in research information system
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Additional information about fundingOpen access funding provided by Royal Institute of Technology.
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