An inverse problem for Maxwell's equations in anisotropic media

作者：Li, Shumin^*; Yamamoto, Masahiro

来源：Chinese Annals of Mathematics Series B, 2007, 28(1): 35-54.

DOI：10.1007/s11401-005-0572-3

• anisotropic media
• inverse problem
• Maxwell's equations
• Carleman estimate
• Lipschitz stability

The authors consider Maxwell's equations for an isomagnetic anisotropic and inhomogeneous medium in two dimensions, and discuss an inverse problem of determining the permittivity tensor (epsilon 1(epsilon 2) epsilon 2 (epsilon 3) and the permeability mu in the constitutive relations from a finite number of lateral boundary measurements. Applying a Carleman estimate, the authors prove an estimate of the Lipschitz type for stability, provided that epsilon(1), epsilon(2), epsilon(3) mu satisfy some a priori conditions.

• 出版日期2007-1