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- W2914726429 abstract "We are concerned with the Calder'on problem of determining an unknown conductivity of a body from the associated boundary measurement. We establish a logarithmic type stability estimate in terms of the Hausdorff distance in determining the support of a convex polygonal inclusion by a single partial boundary measurement. We also derive the uniqueness result in a more general scenario where the conductivities are piecewise constants supported in a nested polygonal geometry. Our methods in establishing the stability and uniqueness results have a significant technical initiative and a strong potential to apply to other inverse boundary value problems." @default.
- W2914726429 created "2019-02-21" @default.
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- W2914726429 date "2019-02-12" @default.
- W2914726429 modified "2023-09-26" @default.
- W2914726429 title "Stable determination of polygonal inclusions in Calder'on's problem by a single partial boundary measurement" @default.
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- W2914726429 doi "https://doi.org/10.48550/arxiv.1902.04462" @default.
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