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arxiv: 1107.5151 · v1 · pith:DMNCQ7Z3new · submitted 2011-07-26 · 🧮 math.AP

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

classification 🧮 math.AP
keywords boundaryproblempartstabilityconditionconductorconsidercorrosion
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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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