Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
Artikel i vetenskaplig tidskrift, 2024
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.
Non-scattering phenomena
Metaharmonic functions
Acoustic equation
Quadrature domain
Partial balayage
Mean value theorem
Helmholtz equation
Författare
Pu Zhao Kow
Jyväskylän Yliopisto
Simon Larson
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Mikko Salo
Jyväskylän Yliopisto
Henrik Shahgholian
Kungliga Tekniska Högskolan (KTH)
Potential Analysis
0926-2601 (ISSN) 1572-929X (eISSN)
Vol. 60 1 387-424Ämneskategorier
Algebra och logik
Beräkningsmatematik
Matematisk analys
DOI
10.1007/s11118-022-10054-5