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

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

2004-10-26

arxiv.org/abs/math/0410546v1

Mathematics

Analysis of PDEs

Scientific paper

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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