R^(3)中Cahn-Hilliard方程的全局适定性

Global Well-posedness of the Cahn-Hilliard Equation in R^(3)

在三维全空间中,利用扇算子理论,对Cahn-Hilliard方程的Cauchy问题进行研究.先得到方程在H 1(R^(3))上的局部可解性,再通过能量估计,得到其全局适定性.

In 3D whole space,the Cauchy problem of Cahn-Hilliard equation is studied by using the sectorial operator theory.Firstly,we obtain the local solvability of the equation in H 1(R^(3)),and then the global well-posedness by using energy estimates.