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

Susovan Pramanik

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arXiv · 2505.12255

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

Susovan Pramanik

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Abstract

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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Susovan Pramanik. 2025-05-18. Anisotropic Calder\'{o}n Problem for a Non-Local Second Order Elliptic Operator. https://arxiv.org/abs/2505.12255

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