Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
El Mustapha Ait Ben Hassi, S. E. Chorfi, Lahcen Maniar, Omar Oukdach
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.
Topics & Concepts
Lipschitz continuityInverseMathematical analysisStability (learning theory)MathematicsInverse problemBoundary (topology)Parabolic partial differential equationDiffusion equationAnisotropyBoundary value problemApplied mathematicsPartial differential equationPhysicsComputer scienceGeometryMachine learningEconomyEconomicsService (business)Quantum mechanicsNumerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential Equations