| In this thesis,the solutions of the Cahn-Hilliard equation with dynamic boundary conditions and general memory kernel are studied.The research back ground and some research development for a class of the Cahn-Hilliard with dynamic boundary conditions and general memory kernel are introduced in chapter 1,and the focus of this thesis is also presented.Some definitions,theorems and fundamental formulas used in this thesis are introduced in chapter 2.In the third chapter,the local existence and uniqueness for solution is proved by using the maximal monotone operator theory,and then the existence for the global solution is obtained by using energy estimate. |