ON THE UNIQUENESS OF THE RECOVERY OF PARAMETERS OF THE MAXWELL SYSTEM FROM DYNAMICAL BOUNDARY DATA


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Abstract

The paper deals with the problem of recovering the parameters (functions) ε and μ of the Maxwell dynamical system(tan is the tangent component; E = Ef (x,t), H = Hf(x,t) is a solution) by the response operator RT:f → ν × Hf|∂Ω ×[0,T] (ν is the normal). The parameters determine the velocity c = (εμ)−½, the c-metric ds2 = c−2|dx|2, and the time T* = maxΩdistc(ċ, ∂Ω). It is shown that for any fixed T > T*, the operator R2T determines ε and μ in Ω uniquely. Bibliography: 15 titles.

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