Determining conductivity with special anisotropy by boundary measurements

被引：26

作者：

Alessandrini, G ^{[1
]}

Gaburro, R ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Sci Matemat, I-34100 Trieste, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2001年 / 33卷 / 01期

关键词：

inverse boundary value problems; anisotropic conductivity; singular solutions;

D O I：

10.1137/S0036141000369563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove results of uniqueness and stability at the boundary for the inverse problem of electrical impedance tomography in the presence of possibly anisotropic conductivities. We assume that the unknown conductivity has the form A = A (x, a ( x)), where a ( x) is an unknown scalar function and A (x, t) is a given matrix-valued function. We also deduce results of uniqueness in the interior among conductivities A obtained by piecewise analytic perturbations of the scalar term a.

引用

页码：153 / 171

页数：19

共 10 条

[1] SINGULAR SOLUTIONS OF ELLIPTIC-EQUATIONS AND THE DETERMINATION OF CONDUCTIVITY BY BOUNDARY MEASUREMENTS [J].