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

Susovan Pramanik

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arXiv · 2506.12535

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

Susovan Pramanik

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Abstract

This paper investigates the anisotropic Calder\'{o}n problem for Logarithemic Laplacian, on closed Riemannian manifolds, which could be considered as near Laplace operator. We demonstrate that the Cauchy data set recovers the geometry of a closed Riemannian manifold up to standard gauge.

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Susovan Pramanik. 2025-06-14. Anisotropic Calder\'{o}n problem of a nearly Laplace-Beltrami operator of order $2+$. https://arxiv.org/abs/2506.12535

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