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arXiv:2003.07884 [math.AP]AbstractReferencesReviewsResources

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

Published 2020-03-17Version 1

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.

Categories: math.AP
Subjects: 35R30, 35K05
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