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• W2038953368 abstract "This paper deals with the problem of the identification of the diffusion coefficient in a parabolic equation. This inverse problem is formulated as a nonlinear operator equation in Hilbert spaces. Continuity and differentiability of the corresponding operator is shown. In the one-dimensional case uniqueness and conditional stability results are obtained by using the heat equation transform. Finally, the problem is solved numerically by iteratively regularized Gauss-Newton method." @default.
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• W2038953368 date "2000-06-01" @default.
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• W2038953368 title "Identification of the diffusion coefficient in a one-dimensional parabolic equation" @default.
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• W2038953368 doi "https://doi.org/10.1088/0266-5611/16/3/309" @default.
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