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SUMMARY:Limiting Carleman weights and related inverse problems - Mihajlo C
 ekic (Cambridge)
DTSTART:20150313T150000Z
DTEND:20150313T160000Z
UID:TALK58484@talks.cam.ac.uk
CONTACT:Joe Waldron
DESCRIPTION:We consider the Calderon problem - does the Dirichlet-to-Neuma
 nn map on a manifold M uniquely determine the metric? The answer is known 
 for dim M=2\, but for dim M>2 most of it is open - we will talk about some
  known results in this case. The approach is based on limiting Carleman we
 ights (introduced by Kenig-Sjoestrand-Uhlmann (2007) in the Euclidean case
 ) and constructing special complex geometrical optics solutions. We also t
 alk about uniquely determining a connection up to a gauge invariance and a
  potential from the DN map.
LOCATION:MR13
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