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.
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页码：579 / 595
页数：17
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