A fourth order nonlinear degenerate parabolic equation

作者：Liu Changchun^*

来源：Communications on Pure and Applied Analysis, 2008, 7(3): 617-630.

• fourth order
• degenerate parabolic equation
• existence
• finite speed of propagation

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.

• 出版日期2008-5
• 单位吉林大学