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

页码：322 / 338

页数：17

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