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SUMMARY:Conductivity imaging from one interior measurement in the presence
  of perfectly conducting and insulating inclusions - Moradifam\, A (Univer
 sity of Toronto)
DTSTART:20110825T130000Z
DTEND:20110825T133000Z
UID:TALK32487@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the problem of recovering an isotropic conductivit
 y outside some perfectly conducting or insulating inclusions from the inte
 rior measurement of the magnitude of one current density field $|J|$. We p
 rove that the conductivity outside the inclusions\, and the shape and posi
 tion of the perfectly conducting and insulating inclusions are uniquely de
 termined (except in an exceptional case) by the magnitude of the current g
 enerated by imposing a given boundary voltage. We have found an extension 
 of the notion of admissibility to the case of possible presence of perfect
 ly conducting and insulating inclusions. This makes it possible to extend 
 the results on uniqueness of the minimizers of the least gradient problem 
 $F(u)=int_{Omega}a | \nabla u|$ with $u|_{partial Omage}=f$ to cases where
  $u$ has flat regions (is constant on open sets). This is a joint work wit
 h Adrian Nachman and Alexandru Tamasam.\n
LOCATION:Seminar Room 1\, Newton Institute
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