English

The anisotropic Calder\'on problem for high fixed frequency

Analysis of PDEs 2021-04-09 v1

Abstract

We consider Schr\"odinger operators at a fixed high frequency on simply connected compact Riemannian manifolds with non-positive sectional curvatures and smooth strictly convex boundaries. We prove that the Dirichlet-to-Neumann map uniquely determines the potential.

Keywords

Cite

@article{arxiv.2104.03477,
  title  = {The anisotropic Calder\'on problem for high fixed frequency},
  author = {Gunther Uhlmann and Yiran Wang},
  journal= {arXiv preprint arXiv:2104.03477},
  year   = {2021}
}
R2 v1 2026-06-24T00:56:47.206Z