Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map

Plamen Stefanov; Gunther Uhlmann

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Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map

Plamen Stefanov·Gunther Uhlmann

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Abstract

We prove Hölder type stability estimates near generic simple Riemannian metrics for the inverse problem of recovering such metrics from the Dirichlet-to-Neumann map associated to the wave equation for the Laplace-Beltrami operator.

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Plamen Stefanov, Gunther Uhlmann. 2004-10-26. Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map. https://arxiv.org/abs/math/0410546

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