Smoothness dependent stability in corrosion detection
classification
🧮 math.AP
keywords
stabilityboundarycorrosionglobalassumingconductorconsidercorroded
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We consider the stability issue for the determination of a linear corrosion in a conductor by a single electrostatic measurement. We established a global log-log type stability when the corroded boundary is simply Lipschitz. We also improve such a result obtaining a global log stability by assuming that the damaged boundary is $C^{1,1}$-smooth.
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