Anisotropic Calder\'{o}n Problem for a Non-Local Second Order Elliptic Operator
Analysis of PDEs
2025-05-30 v3
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.
Cite
@article{arxiv.2505.12255,
title = {Anisotropic Calder\'{o}n Problem for a Non-Local Second Order Elliptic Operator},
author = {Susovan Pramanik},
journal= {arXiv preprint arXiv:2505.12255},
year = {2025}
}
Comments
18 pages