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arxiv: 1404.6652 · v2 · pith:XM4XGWGSnew · submitted 2014-04-26 · 🧮 math.AP

Stability of the Calder\'on problem in admissible geometries

classification 🧮 math.AP
keywords stabilityadmissiblecalderestimatesinverseproblemproblemsanisotropic
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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.

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