Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions

In this work, we study the stable determination of four space-dependent coefficients appearing in a coupled semilinear parabolic system with variable diffusion matrices subject to dynamic boundary conditions which couple intern-boundary phenomena. We prove Lipschitz stability result for interior and potentials by means only one observation component, localized any arbitrary open subset physical domain. The proof mainly relies on some new Carleman estimates surface type.