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arXiv · 2003.07884

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

E. M. Ait Ben Hassi·S. E. Chorfi·L. Maniar·O. Oukdach
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Abstract

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.

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E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar, O. Oukdach. 2020-03-17. Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions. https://doi.org/10.3934/eect.2020094

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