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

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.

References in corpus (1)

• On the determination of the nonlinearity from localized measurements in a reaction-diffusion equation

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