腐蚀检测中的平滑度相关稳定性
Smoothness dependent stability in corrosion detection
摘要：
我们考虑的稳定性问题，通过一个单一的静电测量的导体中的线性腐蚀的测定。当腐蚀边界为简单Lipschitz边界时，我们建立了全局log-log型稳定性。我们还通过假设受损边界是$C^{1,1}$ -光滑的来改进这样的结果，从而获得全局对数稳定性。
英文摘要：
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 $C^{1,1}$-smooth.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
