Inverse Problem for a Coupled Parabolic System with Discontinuous Conductivities: One-dimensional Case

نویسندگان

  • Michel Cristofol
  • Patricia Gaitan
  • Kati Niinimäki
چکیده

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.

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تاریخ انتشار 2012