A fourth order nonlinear degenerate parabolic equation
Changchun Liu · Communications on Pure & Applied Analysis · 2008
In this paper, we study a fourth order degenerate parabolic equation, which arises in epitaxial growth of nanoscale thin films. We establish the existence of weak solutions, based on the uniform estimates for the approximate solutions. The nonnegativity and the finite speed of propagation of perturbations of solutions are also discussed.