Weak solutions for a high-order pseudo-parabolic equation with variable exponents

被引：17
|
作者：
Gao, Yunzhu [1 ,2 ]
Guo, Bin [2 ]
Gao, Wenjie [2 ]
机构：
[1] Beihua Univ, Dept Math, Jilin 132013, Peoples R China
[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
来源：
APPLICABLE ANALYSIS | 2014年 / 93卷 / 02期
关键词：
pseudo-parabolic equations; existence; uniqueness; variable exponents; 35K35; 35K55; 35K65; EXISTENCE;
D O I：
10.1080/00036811.2013.772138
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors investigate the existence and uniqueness of weak solutions of the initial and boundary value problem for a fourth-order pseudo-parabolic equation with variable exponents of non-linearity. Finally, the authors also obtain a long-time behaviour of weak solutions.
引用
收藏
页码：322 / 338
页数：17
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