Well-posedness and stability for a class of fourth-order nonlinear parabolic equations

Xinye Li, Christof Melcher

In this paper we examine well-posedness for a class of fourth-order nonlinear parabolic equation ${\partial }_{t}u+(-\Delta {)}^{2}u=\nabla \cdot F(\nabla u)$, where $F$ satisfies a cubic g…