Stability of the Calder\'on problem in admissible geometries

Pedro Caro; Mikko Salo

Stability of the Calder\'on problem in admissible geometries

Analysis of PDEs 2014-08-15 v2

Authors: Pedro Caro , Mikko Salo

Abstract

In this paper we prove log log type stability estimates for inverse boundary value problems on admissible Riemannian manifolds of dimension $n \geq 3$ . The stability estimates correspond to a couple of uniqueness results by Dos Santos Ferrera, Kenig, Salo and Uhlmann. These inverse problems arise naturally when studying the anisotropic Calder\'on problem.

Keywords

calderón problem inverse boundary value problems stability estimates admissible riemannian manifolds uniqueness results anisotropic media

Cite

@article{arxiv.1404.6652,
  title  = {Stability of the Calder\'on problem in admissible geometries},
  author = {Pedro Caro and Mikko Salo},
  journal= {arXiv preprint arXiv:1404.6652},
  year   = {2014}
}

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