Reconstruction in the Calder\'on problem on conformally transversally anisotropic manifolds

@article{Feizmohammadi2020ReconstructionIT,
  title={Reconstruction in the Calder\'on problem on conformally transversally anisotropic manifolds},
  author={Ali Feizmohammadi and Katya Krupchyk and Lauri Oksanen and Gunther Uhlmann},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
We show that a continuous potential $q$ can be constructively determined from the knowledge of the Dirichlet-to-Neumann map for the Schrodinger operator $-\Delta_g+q$ on a conformally transversally anisotropic manifold of dimension $\geq 3$, provided that the geodesic ray transform on the transversal manifold is constructively invertible. This is a constructive counterpart of the uniqueness result of Dos Santos Ferreira-Kurylev-Lassas-Salo. A crucial role in our reconstruction procedure is… Expand
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