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SUMMARY:Some stability results for anisotropic inverse problems - Eva Sinc
 ich (Università degli Studi di Trieste)
DTSTART:20230622T133000Z
DTEND:20230622T143000Z
UID:TALK200455@talks.cam.ac.uk
DESCRIPTION:In this talk we will present some recent stability results for
  anisotropic inverse problems. We first discuss the inverse problem of det
 ermining\, the possibly anisotropic\, conductivity of a body by means of t
 he local Neumann to Dirichlet map on a curved portion $\\Sigma$ of the bou
 ndary. We provide a Holder stability estimate on $\\Sigma$ when the conduc
 tivity is a priori known to be a constant matrix near $\\Sigma$.\nIn the s
 econd part of the talk\, we consider the inverse problem of determining an
  inclusion contained in a body for a Schrodinger type equation by means of
  local Cauchy data. Both the body and the inclusion are made by inhomogene
 ous and anisotropic materials. We establish a logarithmic stability estima
 te in terms of local Cauchy data.\n This presentation is based on joint wo
 rks with Giovanni Alessandrini\, Sonia Foschiatti and Romina Gaburro.
LOCATION:Seminar Room 1\, Newton Institute
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