摘要
研究Cahn-Hilliard-Oono方程解的存在性问题.首先利用扇形算子理论及抽象Cauchy问题解的存在性定理得到Cahn-Hilliard-Oono方程X^(α)解的存在性,然后得到Cahn-Hilliard-Oono方程整体X^(α)解的存在性,最后考虑Cahn-Hilliard-Oono方程非线性项的推广问题,得到推广方程解的H^(2)范数估计.
In this paper,we studied the existence of solutions for Cahn-Hilliard-Oono equation.Firstly,the existence of X^(α) solution of Cahn-Hilliard-Oono equation was obtained by using the theory of sector operator and the existence theorem of abstract Cauchy problem.Secondly,the existence of global X^(α) solution of Cahn-Hilliard-Oono equation was obtained.Finally,the H^(2) norm estimate of the solution for the generalized equation is obtained.
作者
黄梅
蒲志林
任运平
HUANG Mei;PU Zhilin;REN Yunping(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,Sichuan)
出处
《四川师范大学学报（自然科学版）》
CAS
2022年第4期470-476,共7页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(11571245)。
