Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena
| Autor: | Pu-Zhao Kow, Simon Larson, Mikko Salo, Henrik Shahgholian |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
metaharmonic functions
matematiikka partial balayage yhtälöt mean value theorem Mathematics::Numerical Analysis 35J05 35J15 35J20 35R30 35R35 quadrature domain non-scattering phenomena Mathematics - Analysis of PDEs FOS: Mathematics Helmholtz equation acoustic equation Analysis Analysis of PDEs (math.AP) |
| Popis: | 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. 45 pages, 6 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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