Smoothness dependent stability in corrosion detection

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:426

Article

Sincich, Eva

关键词: Corrosion detection;    Global stability;    Boundary impedance;    Inverse problems;   

DOI  :  10.1016/j.jmaa.2014.10.036

来源: Elsevier

【 摘 要 】

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,C-1-smooth. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free