带粘性含不活泼项Cahn-Hilliard方程解的存在性

EXISTENCE OF SOLUTIONS FOR VISCOUS CAHN-HILLIARD EQUATION WITH INERTIAL TERM

本文研究了带粘性的含不活泼项Cahn-Hilliard方程柯西问题.利用格林函数不同频域的详细分析及不动点原理,得到了方程大初值情形经典解的整体存在性,推广了以往工作集中在弱解或拟强解或小初值情形下的经典解.

Cauchy problem of viscous Cahn-Hilliard equation with inertial term is studied. By detailed analysis of the Green's function in different frequency, based on fixed point theorem, global existence of classical solution with large initial data is obtained, Which extend the formers work which focused on weak solution or quasi-strong solution or classical solution with small initial data.