| dc.contributor | 應數系 | - |
| dc.creator (作者) | 邱普照 | - |
| dc.creator (作者) | Kow, Pu-Zhao;Wang, Jenn-Nan | - |
| dc.date (日期) | 2025-02 | - |
| dc.date.accessioned | 28-Oct-2024 13:15:40 (UTC+8) | - |
| dc.date.available | 28-Oct-2024 13:15:40 (UTC+8) | - |
| dc.date.issued (上傳時間) | 28-Oct-2024 13:15:40 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/154143 | - |
| dc.description.abstract (摘要) | 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. | - |
| dc.format.extent | 99 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Taiwanese Journal of Mathematics, Vol.29, No.1, pp.89-128 | - |
| dc.subject (關鍵詞) | Bayesian approach; impedance-to-Dirichlet map; impedance-to-Neumann map; increasing stability/resolution; inverse problem; Schrödinger equation | - |
| dc.title (題名) | Increasing Stability in an Inverse Boundary Value Problem - Bayesian Viewpoint | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.11650/tjm/240704 | - |
| dc.doi.uri (DOI) | https://doi.org/10.11650/tjm/240704 | - |
