摘要
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 (ε1,ε2,ε2,ε3 ) and the permeability μ 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 ε1,ε2,ε3,μ satisfy some a priori conditions.
基金
Project supported by the Rotary Yoneyama Doctor Course Scholarship (Japan)
the Fujyu-kai (Tokyo, Japan)
the 21st Century Center of Excellence Program at Graduate School of Mathematical Sciences, the University of Tokyo, the Japan Society for the Promotion of Science (No. 15340027)
the Ministry of Education, Cultures, Sports and Technology (No. 17654019).