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

Valeria Bacchelli, Michele Di Cristo, Eva Sincich, Sergio Vessella

Type: Article

Publication Date: 2014-04-07

Citations: 15

DOI: https://doi.org/10.1090/s0002-9947-2014-05807-8

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.

Locations

arXiv (Cornell University) - View - PDF
Virtual Community of Pathological Anatomy (University of Castilla La Mancha) - View - PDF
Transactions of the American Mathematical Society - View - PDF

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