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Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena

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.

preprint2022arXivOpen access
Pu-Zhao KowSimon LarsonMikko SaloHenrik Shahgholian
math.AP
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Pu-Zhao KowSimon LarsonMikko SaloHenrik Shahgholian

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