Abstract
In this paper, we study a fourth-order parabolic equation with Dirichlet boundary which arises in epitaxial growth of nanoscale thin films. We proved the equation with condition possesses a global attractor in
, which attracts any bounded subset of
in the
-norm. In addition to this, we consider the equation under the conditions
is blow-up.
Disclosure statement
No potential conflict of interest was reported by the author.