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Sei Nagayasu

2008-11-06
16:00:00 - 16:50:00

Depth dependent stability estimate in electrical impedance tomography

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

We study the inverse problem of determining an electrical inclusion from boundary measurements. We derive a stability estimate for the linearized map with explicit formulae on generic constants that shows that the problem becomes more ill-posed as the inclusion is farther from the boundary. We also show that this estimate is optimal.