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SUMMARY:Boundary distance: volume and geodesic ray transform - Ivanov \, S
DTSTART:20110927T143000Z
DTEND:20110927T153000Z
UID:TALK33148@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In dimension 2 the best avalaible result is due to Astala and 
 Pivrinta.\nThey  were able to combine the approach based on the scattering
  transform introduced by Nachman with the theory of quasiconformal maps to
  show that\, in any planar domain\, any function essentially bounded from 
 above and below could be identified  by boundary measurements.\n\nIn the t
 alk we will show that if the oscillation of the conductivities is controll
 ed in some fractional Sobolev space and the boundary of the domain has Min
 kowski dimension less than 2 the identification is stable. We will also di
 scuss the relation between the concept of G-convergence and Dirichlet to N
 euman maps to show the sharpness of the result.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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