The problem of detecting corrosion by an electric measurement revisited

Mourad Choulli; Aymen Jbalia

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arXiv · 1309.5901

The problem of detecting corrosion by an electric measurement revisited

Mourad Choulli·Aymen Jbalia

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Abstract

We establish a logarithmic stability estimate for the problem of detecting corrosion by a single electric measurement. We give a proof based on an adaptation of the method initiated in \cite{BCJ} for solving the inverse problem of recovering the surface impedance of an obstacle from the scattering amplitude. The key idea consists in estimating accurately a lower bound of the $L^2$-norm, locally at the boundary, of the solution of the boundary value problem used in modeling the problem of detection corrosion by an electric measurement

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Mourad Choulli, Aymen Jbalia. 2013-09-23. The problem of detecting corrosion by an electric measurement revisited. https://arxiv.org/abs/1309.5901

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