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Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions

  • * Corresponding author: Lahcen Maniar

    * Corresponding author: Lahcen Maniar 
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  • In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stability for the inverse problem involving a simultaneous recovery of two source terms from a single measurement and interior observations, based on a recent Carleman estimate for such problems.

    Mathematics Subject Classification: Primary:35R30;Secondary:35K05.

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