Regularity of solutions of the Cahn-Hilliard equation with non-constant mobility

被引：9
作者：
Liu, Chang Chun [1 ]
Qi, Yuan Wei
Yin, Jing Xue
机构：
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 04期
关键词：
Cahn-Hilliard equation; regularity; Schauder estimates; CONCENTRATION-DEPENDENT MOBILITY; DEGENERATE PARABOLIC EQUATIONS; FINITE-ELEMENT APPROXIMATION; MAXIMAL ATTRACTORS; SYSTEM;
D O I：
10.1007/s10114-005-0711-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the regularity of solutions for two-dimensional Cahn-Hilliard equation with non-constant mobility. Basing on the L-p type estimates and Schauder type estimates, we prove the global existence of classical solutions.
引用
收藏
页码：1139 / 1150
页数：12
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