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

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 نشر من قبل Plamen Stefanov
 تاريخ النشر 2015
  مجال البحث
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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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