On Inversion of Permitivity, Permeability and Conductivity

Abstract

In this paper, the invecsion or coefficients permitivity ε, permeability μ and conductivity σ in Maxwell system is discussed. Under some smoothness conditions, we have proved the existence, uniqueness and extension theorems of the local solution to the inverse problem by means of an equivalent integral system. Stability, well-posed property of the solution and the property of the solution at the end point or the largest existence interval are also researched.