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.
A PARABOLIC INVERSE PROBLEM WITH MIXED BOUNDARY DATA. STABILITY ESTIMATES FOR THE UNKNOWN BOUNDARY AND IMPEDANCE / V. Bacchelli; M. Di Cristo; E. Sincich;S. Vessella. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 366:(2014), pp. 3965-3995. [10.1090/S0002-9947-2014-05807-8]
A PARABOLIC INVERSE PROBLEM WITH MIXED BOUNDARY DATA. STABILITY ESTIMATES FOR THE UNKNOWN BOUNDARY AND IMPEDANCE
VESSELLA, SERGIO
2014
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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