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SUMMARY:Pedro Caro (BCAM)
DTSTART:20200910T160000Z
DTEND:20200910T170000Z
DTSTAMP:20260423T021151Z
UID:Inverse/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/16/"
 >The Calderón problem with corrupted data</a>\nby Pedro Caro (BCAM) as pa
 rt of International Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstrac
 t\nThe inverse Calderón problem consists in determining the conductivity 
 inside a medium by electrical measurements on its surface. Ideally\, these
  measurements determine the Dirichlet-to-Neumann map and\, therefore\, one
  usually assumes the data to be given by such map. This situation correspo
 nds to having access to infinite-precision measurements\, which is totally
  unrealistic. In this talk\, I will consider the Calderón problem assumin
 g data to contain measurement errors and provide formulas to reconstruct t
 he conductivity and its normal derivative on the surface (joint work with 
 Andoni García). I will also present similar results for Maxwell’s equat
 ions (joint work with Ru-Yu Lai\, Yi-Hsuan Lin\, Ting Zhou ). When modelli
 ng errors in these two different frameworks\, one realizes the existence o
 f certain freedom that yields different reconstruction formulas. To unders
 tand the whole picture of what is going on\, we rewrite the problem in a d
 ifferent setting\, which will bring us to analyse the observational limit 
 of wave packets with noisy measurements (joint work with Cristóbal J. Mer
 oño).\n
LOCATION:https://researchseminars.org/talk/Inverse/16/
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