Inverse problem for a coupled parabolic system with discontinuous conductivities: One-dimensional case
Abstract
We study the inverse problem of the simultaneous identification of two discontinuous diffusion coefficients for a one-dimensional coupled parabolic system with the observation of only one component. The stability result for the diffusion coefficients is obtained by a Carleman-type estimate. Results from numerical experiments in the one-dimensional case are reported, suggesting that the method makes possible to recover discontinuous diffusion coefficients. 1. Introduction. Let Ω =]0, 1[, T > 0. We consider the following linear parabolic system:
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