  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 a Lipschitz stability result for interior
and boundary potentials by means of only one observation component, localized
in any arbitrary open subset of the physical domain. The proof mainly relies on
some new Carleman estimates for dynamic boundary conditions of surface
diffusion type.
