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arXiv · 1505.02853

On the stable recovery of a metric from the hyperbolic DN map with incomplete data

Plamen Stefanov·Gunther Uhlmann·Andras Vasy
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Abstract

We show that given two hyperbolic Dirichlet to Neumann maps associated to two Riemannian metrics of a Riemannian manifold with boundary which coincide near the boundary are close then the lens data of the two metrics is the same. As a consequence, we prove uniqueness of recovery a conformal factor (sound speed) locally under some conditions on the latter.

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Plamen Stefanov, Gunther Uhlmann, Andras Vasy. 2015-05-12. On the stable recovery of a metric from the hyperbolic DN map with incomplete data. https://arxiv.org/abs/1505.02853

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