We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet--to--Neumann map. Under a priori regularity assumptions on the unknown defect we establish logarithmic stability estimates.
Stable determination of the discontinuous conductivity coefficient of a parabolic equation
DI CRISTO, MICHELE;
2010-01-01
Abstract
We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet--to--Neumann map. Under a priori regularity assumptions on the unknown defect we establish logarithmic stability estimates.File in questo prodotto:
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