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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/153851


    Title: On Scattering Behavior of Corner Domains with Anisotropic Inhomogeneities
    Authors: 邱普照
    Kow, Pu-Zhao;Salo, Mikko;Shahgholian, Henrik
    Contributors: 應數系
    Keywords: free boundary;two-phase problem;nonscattering domains
    Date: 2024-07
    Issue Date: 2024-10-04
    Abstract: 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
    Data Type: article
    DOI link: https://doi.org/10.1137/23M1603029
    DOI: 10.1137/23m1603029
    Appears in Collections:[Department of Mathematical Sciences] Periodical Articles

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