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An Inverse Problem of Radiative Potentials and Initial Temperatures in Parabolic Equations with Dynamic Boundary Conditions by El Mustapha Ait Ben Hassi; Salah-Eddine Chorfi; Lahcen Maniar is a Mathematics article available to read on EtoBox.

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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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Author

El Mustapha Ait Ben Hassi; Salah-Eddine Chorfi; Lahcen Maniar

Publisher

Walter de Gruyter GmbH

Published

2022

Language

EN

Field

Mathematics (Physical Sciences)