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arXiv · 2103.15116

An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions

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

We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability estimate for the relevant potentials using a recent Carleman estimate, and a logarithmic stability result for the initial temperatures by a logarithmic convexity method, based on observations in an arbitrary subdomain.

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E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar. 2021-03-28. An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions. https://doi.org/10.1515/jiip-2020-0067

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