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題名 Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
作者 邱普照
Kow, Pu-Zhao;Larson, Simon;Salo, Mikko;Shahgholian, Henrik
貢獻者 應數系
關鍵詞 Quadrature domain; Non-scattering phenomena; Mean value theorem; Helmholtz equation; Acoustic equation; Metaharmonic functions; Partial balayage
日期 2022-12
上傳時間 23-Sep-2023 11:37:56 (UTC+8)
摘要 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.
關聯 Potential Analysis, Vo.60, pp.387–424
資料類型 article
DOI https://doi.org/10.1007/s11118-022-10054-5
dc.contributor 應數系-
dc.creator (作者) 邱普照-
dc.creator (作者) Kow, Pu-Zhao;Larson, Simon;Salo, Mikko;Shahgholian, Henrik-
dc.date (日期) 2022-12-
dc.date.accessioned 23-Sep-2023 11:37:56 (UTC+8)-
dc.date.available 23-Sep-2023 11:37:56 (UTC+8)-
dc.date.issued (上傳時間) 23-Sep-2023 11:37:56 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/147626-
dc.description.abstract (摘要) 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.-
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Potential Analysis, Vo.60, pp.387–424-
dc.subject (關鍵詞) Quadrature domain; Non-scattering phenomena; Mean value theorem; Helmholtz equation; Acoustic equation; Metaharmonic functions; Partial balayage-
dc.title (題名) Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1007/s11118-022-10054-5-
dc.doi.uri (DOI) https://doi.org/10.1007/s11118-022-10054-5-