MacBain, John A. Inversion theory for a parameterized diffusion problem. (English) Zbl 0664.35075 SIAM J. Appl. Math. 47, 1386-1391 (1987). The author considers the problem \[ \partial^ 2E(z,w)/\partial z^ 2=i\mu_ 0w \sigma (z)E(z,w),\quad \sigma (z)>0,\quad E(-D,w)=0,\quad E(0,w)=1,\quad D>0, \] which is commonly used to describe the one- dimensional magnetotelluric problem. It is shown that for a large space of conductivity functions (with no analyticity requirements), the conductivity function is uniquely recoverable from magnetotelluric data. Reviewer: D.E.Edmunds Cited in 29 Documents MSC: 35R30 Inverse problems for PDEs 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations Keywords:magnetotelluric problem; conductivity; analyticity; uniquely recoverable PDFBibTeX XMLCite \textit{J. A. MacBain}, SIAM J. Appl. Math. 47, 1386--1391 (1987; Zbl 0664.35075) Full Text: DOI