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SUMMARY:Niky Kamran (McGill University)
DTSTART:20200716T160000Z
DTEND:20200716T170000Z
DTSTAMP:20260423T021145Z
UID:Inverse/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/12/"
 >Non-uniqueness results for the anisotropic Calder\\’on problem at fixed
  energy.</a>\nby Niky Kamran (McGill University) as part of International 
 Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstract\nIn its geometric 
 formulation\, the anisotropic Calder\\’on problem consists in recovering
  up to some natural gauge equivalences the metric of a Riemannian manifold
  with boundary from the knowledge of the Dirichlet-to-Neumann map. I will 
 survey some recent non-uniqueness results obtained in collaboration with T
 hierry Daud\\’e (Cergy-Pontoise) and Francois Nicoleau (Nantes) for the 
 anisotropic Calder\\’on problem at fixed energy\, in the case of disjoin
 t or partial data. The underlying manifolds arising in these examples are 
 diffeomorphic to toric cylinders with two connected boundary components. I
 n the case of disjoint data the metric is a suitably chosen warped product
  metric which is everywhere smooth. For partial data\, the metric\, which 
 is adapted from Miller’s example of an elliptic operator which fails to 
 satisfy the unique continuation principle\, is smooth in the interior of t
 he manifold\, but only H\\”older continuous on one connected component o
 f the boundary.\n
LOCATION:https://researchseminars.org/talk/Inverse/12/
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