A CLASS OF FOURTH-ORDER NONLINEAR PARABOLIC EQUATIONS MODELING THE EPITAXIAL GROWTH OF THIN FILMS

摘要

In this paper, the initial-boundary value problem for a class offourth-order nonlinear parabolic equations modeling the epitaxial growth ofthin films is studied. By means of the theory of potential wells, the globalexistence, asymptotic behavior and finite time blow-up of weak solutions areobtained.