We study well-posedness and asymptotic behaviour of the
Cahn-Hilliard
equation with dynamic boundary condition. This modification of the
usual
non-flux condition has been introduced to incorporate surface
effects. By
means of optimal regularity results in the L_p-setting for the
linearized problem, well-posedness and the global semiflow in an
appropriate phase space are obtained. We also show convergence of
the
solutions to equilibrium states in energy norm. This result is
proved
via the recent Lojasiewicz technique.