  In this article we study a model from epitaxial thin-film growth. It was
originally introduced as a phenomenological model of growth in the presence of
a Schwoebbel barrier, where diffusing particles on a terrace are not allowed to
jump down at the boundary.
  Nevertheless, we show that the presence of arbitrarily small space-time white
noise due to fluctuations in the incoming particles surprisingly eliminates all
nonlinear interactions in the model and thus has the potential to stabilize the
dynamics and suppress the growth of hills in these models.
