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Anisotropic Calder\'{o}n Problem for a Non-Local Second Order Elliptic Operator

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arxiv 2505.12255 v3 pith:CP7VFNM6 submitted 2025-05-18 math.AP

Susovan Pramanik (Harish-Chandra Research Institute , India) This is my paper · ORCID
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keywords anisotropiccalderclosedellipticnon-localoperatororderproblem
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This paper investigates the anisotropic Calder\'{o}n problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set, we can recover the geometry of a closed Riemannian manifold up to standard gauge.

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  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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