Stability of the Calderón problem in admissible geometries

preprint2014arXivOpen access

Abstract

In this paper we prove log log type stability estimates for inverse boundary value problems on admissible Riemannian manifolds of dimension n≥3n \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 Calderón problem.

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