ABSTRACT

In this paper we study the stability issue of the inverse problem of determining an inclusion contained in a stratified medium assuming the conductivity to be isotropic and variable coefficients. We prove a modulus of continuity of logarithmic type which, according to examples showed in [Di Cristo M, Rondi L. Examples of exponential instability for inverse inclusion and scattering problems. Inverse Probl. 2003;19:685–701], turns out to be optimal.

中文翻译：

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层状介质中不均匀夹杂物的稳定测定

摘要

在本文中，我们研究了确定包含在分层介质中的夹杂物的逆问题的稳定性问题，假设电导率为各向同性和可变系数。我们证明了对数类型的连续模量，根据 [Di Cristo M, Rondi L. 逆包含和散射问题的指数不稳定性示例中显示的示例。逆问题 2003;19:685–701]，结果证明是最佳的。