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

2011/07/26 by Valeria Bacchelli, Michele Di Cristo, Bacchelli, V. +5
Computer Science · Engineering · Mathematics · #35R30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1107.5151

openalex publication_date 2011/07/26 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

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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