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

Abstract

<p style='text-indent:20px;'>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.</p>