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題名 On Scattering Behavior of Corner Domains with Anisotropic Inhomogeneities
作者 邱普照
Kow, Pu-Zhao;Salo, Mikko;Shahgholian, Henrik
貢獻者 應數系
關鍵詞 free boundary; two-phase problem; nonscattering domains
日期 2024-07
上傳時間 2024-10-04
摘要 This paper investigates the possible scattering and nonscattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident field. We connect the anisotropic nonscattering problem to a Bernoulli type free boundary problem. By invoking methods from the theory of free boundaries, we show that an anisotropic medium with Lipschitz but not boundary scatters every incident wave that satisfies a nondegeneracy condition.
關聯 SIAM Journal on Mathematical Analysis, Vol.56, No.4, pp.4834-4853
資料類型 article
DOI https://doi.org/10.1137/23M1603029
dc.contributor 應數系
dc.creator (作者) 邱普照
dc.creator (作者) Kow, Pu-Zhao;Salo, Mikko;Shahgholian, Henrik
dc.date (日期) 2024-07
dc.date.accessioned 2024-10-04-
dc.date.available 2024-10-04-
dc.date.issued (上傳時間) 2024-10-04-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/153851-
dc.description.abstract (摘要) This paper investigates the possible scattering and nonscattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident field. We connect the anisotropic nonscattering problem to a Bernoulli type free boundary problem. By invoking methods from the theory of free boundaries, we show that an anisotropic medium with Lipschitz but not boundary scatters every incident wave that satisfies a nondegeneracy condition.
dc.format.extent 98 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) SIAM Journal on Mathematical Analysis, Vol.56, No.4, pp.4834-4853
dc.subject (關鍵詞) free boundary; two-phase problem; nonscattering domains
dc.title (題名) On Scattering Behavior of Corner Domains with Anisotropic Inhomogeneities
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1137/23m1603029
dc.doi.uri (DOI) https://doi.org/10.1137/23M1603029