On Scattering Behavior of Corner Domains with Anisotropic Inhomogeneities | Publication

Title	On Scattering Behavior of Corner Domains with Anisotropic Inhomogeneities
Creator	邱普照 Kow, Pu-Zhao;Salo, Mikko;Shahgholian, Henrik
Contributor	應數系
Key Words	free boundary; two-phase problem; nonscattering domains
Date	2024-07
Date Issued	2024-10-04
Summary	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.
Relation	SIAM Journal on Mathematical Analysis, Vol.56, No.4, pp.4834-4853
Type	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