A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance

Bacchelli, V.; Di Cristo, M.; Sincich, E.; Vessella, S.

doi:10.1090/S0002-9947-2014-05807-8

A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
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by V. Bacchelli, M. Di Cristo, E. Sincich and S. Vessella PDF

Trans. Amer. Math. Soc. 366 (2014), 3965-3995 Request permission

Abstract:

We consider the problem of determining an unaccessible part of the boundary of a conductor by means of thermal measurements. We study a problem of corrosion where a Robin type condition is prescribed on the damaged part and we prove logarithmic stability estimate.

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