From consideration of the higher order terms, it is shown that the magneto-telluric response is Fréchet differentiable with respect to conductivity; this result remains valid for discontinuous profiles, which is not so in the case of the corresponding free-oscillation problem for the elastic earth. The remainder term in the Fréchet formula is shown to be O∥δσ∥2 and a numerical estimate is made of the bounding constant for a restricted class of conductivity models.
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Robert L. Parker (1977) studied this question.
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