Anisotropic Calderón problem of a nearly Laplace-Beltrami operator of order 2+

2025/06/14 by Pramanik, Susovan · 2 citations
#35S05 #58J35 #58J40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.12535

Abstract

This paper investigates the anisotropic Calderón 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.

Citations

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• Determining anisotropic real‐analytic conductivities by boundary measurements
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Cited by

• Anisotropic Calderón problem for a logarithmic Schrödinger operator of order 2+ on closed Riemannian manifolds
• The Logarithmic Laplacian on General Graphs

Related

• Anisotropic Calderón Problem for a Non-Local Second Order Elliptic Operator
• Anisotropic Calderón problem for a logarithmic Schrödinger operator of order 2+ on closed Riemannian manifolds
• Fractional anisotropic Calderón problem on closed Riemannian manifolds
• Fractional anisotropic Calderón problem on complete Riemannian manifolds
• Fractional anisotropic Calderón problem with external data