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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/154143


    Title: Increasing Stability in an Inverse Boundary Value Problem - Bayesian Viewpoint
    Authors: 邱普照
    Kow, Pu-Zhao;Wang, Jenn-Nan
    Contributors: 應數系
    Keywords: Bayesian approach;impedance-to-Dirichlet map;impedance-to-Neumann map;increasing stability/resolution;inverse problem;Schrödinger equation
    Date: 2024-08
    Issue Date: 2024-10-28 13:15:40 (UTC+8)
    Abstract: Motivated by the recent work of Abraham and Nickl on the statistical Calderón problem [2], we revisit the increasing stability phenomenon in the inverse boundary value problem for the stationary wave equation with a potential using the Bayesian approach. In this paper, rather than the Dirichlet-to-Neumann map, we consider another type of boundary measurements called the impedance-to-Neumann map. Its graph forms a subset of Cauchy data. We show the consistency of the posterior mean with a contraction rate demonstrating the phenomenon of increasing stability.
    Relation: Taiwanese Journal of Mathematics, pp.1-40
    Data Type: article
    DOI link: https://doi.org/10.11650/tjm/240704
    DOI: 10.11650/tjm/240704
    Appears in Collections:[Department of Mathematical Sciences] Periodical Articles

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