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

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

2011-07-26

arxiv.org/abs/1107.5151v1

Mathematics

Analysis of PDEs

26 pages

Scientific paper

We consider the problem of determining an unaccessible part of the boundary
of a conductor by mean 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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