A one-dimensional high-symmetry growing surface in presence of step-ed
ge barriers is studied numerically and analytically, through a discret
e/continuous model which neglects thermal detachment from steps. The m
orphology of the film at different times and/or different sizes of the
sample is analyzed in the overall range of possible step-edge barrier
s: for a small barrier, we have a strong up-down asymmetry of the inte
rface, and a coarsening process with an increasing size of mounds - ta
kes place; at high barriers no coarsening exists, and for infinite bar
riers the up-down symmetry is asymptotically recovered. The transition
between the two regimes occurs when the so-called Schwoebel length is
of order of the diffusion length.