EXISTENCE AND NONEXISTENCE OF SOLUTIONS OF THIN-FILM EQUATIONS WITH VARIABLE EXPONENT SPACES

被引：0

作者：

Lakshmipriya, N. ^{[1
,2
]}

Gnanavel, S. ^{[1
]}

Shangerganesh, L. ^{[2
]}

Nyamoradi, N. ^{[3
]}

机构：

[1] Cent Univ Kerala, Dept Math, Kasaragod 671320, India

[2] NSS Coll Nemmara, Dept Math, State Highway 58, Palakkad 678508, Kerala, India

[3] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2022年 / 14卷 / 04期

关键词：

Variable exponent spaces; biharmonic operator; blow up; potential well method; TIME BLOW-UP; GLOBAL EXISTENCE; NON-EXTINCTION; PARABOLIC EQUATION; BEHAVIOR; DECAY;

D O I：

10.7153/dea-2022-14-38

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper aims at presenting a thin film problem involving variable exponent sources in a bounded domain. For the problem, we give attention to the existence and nonexistence of solutions under subcritical initial energy. We determine the global existence of solutions, expo-nential decay and blow-up of solutions in finite time with specific conditions for the proposed model.

引用

页码：579 / 595

页数：17

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