论文标题
平面电导率包含的逆问题
Inverse problem for a planar conductivity inclusion
论文作者
论文摘要
本文涉及确定平面电导率包含的反问题。我们的目的是从广义极化张量（GPT）中恢复，可以从外部测量值获得，这是具有任意恒定电导率的同质包含。恢复同质包含的主要结果是与包含相关的共形映射系数的GPT方面的反演公式。为了证明公式，我们为GPT建立了矩阵因素化。
This paper concerns the inverse problem of determining a planar conductivity inclusion. Our aim is to analytically recover from the generalized polarization tensors (GPTs), which can be obtained from exterior measurements, a homogeneous inclusion with arbitrary constant conductivity. The primary outcome of recovering a homogeneous inclusion is an inversion formula in terms of the GPTs for conformal mapping coefficients associated with the inclusion. To prove the formula, we establish matrix factorizations for the GPTs.
