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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/574942
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