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Boundary Reconstruction for the Anisotropic Fractional Calder\'on Problem

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arxiv 2502.12287 v1 pith:CCRVFWGJ submitted 2025-02-17 math.AP

Xiaopeng Cheng , Angkana Rüland This is my paper · ORCID
classification math.AP
keywords citeproblemanisotropicboundarycalderconsideringextensionfractional
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In this article, we provide a boundary reconstruction result for the anisotropic fractional Calder\'on problem and its associated degenerate elliptic extension into the upper half plane. More precisely, considering the setting from \cite{FGKU21}, we show that the metric on the measurement set can be reconstructed from the source-to-solution data. To this end, we rely on the approach by Brown \cite{B01} in the framework developed in \cite{NT01} (see also \cite{KY02}) after localizing the problem by considering it through an extension perspective.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Anisotropic Calder\'{o}n problem of a nearly Laplace-Beltrami operator of order $2+$

    math.AP 2025-06 reject novelty 5.0 of 10

    The paper claims an anisotropic Calderon uniqueness theorem for a logarithmic Laplacian of order 2+, but the central Paley-Wiener argument is invalid.

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