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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/2840472
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