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 C1,1-smooth.
Smoothness dependent stability in corrosion detection
SINCICH, EVA
2015-01-01
Abstract
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 C1,1-smooth.File in questo prodotto:
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