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

Gunther Uhlmann; Plamen Stefanov

arxiv: math/0410546 · v1 · submitted 2004-10-26 · 🧮 math.AP

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

Plamen Stefanov , Gunther Uhlmann This is my paper

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keywords metricsdirichlet-to-neumanngenericsimpleassociateddeterminationequationestimates

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We prove H\"older 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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Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map

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