GLOBAL EXISTENCE, EXPONENTIAL DECAY AND FINITE TIME BLOW-UP FOR A CLASS OF FINITELY DEGENERATE COUPLED PARABOLIC SYSTEMS

被引：0

作者：

Chen, Hua ^{[1
]}

Wang, Jing ^{[1
]}

Xu, Huiyang ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2021年 / 28卷 / 02期

关键词：

Finitely degenerate coupled parabolic systems; global existence; blow-up; asymptotic behavior; LARGE INITIAL DATA; HARNACK INEQUALITY; EMBEDDING THEOREM; VECTOR-FIELDS; LIFE-SPAN; EQUATIONS; BALLS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the initial-boundary value problem for finitely degenerate coupled parabolic systems. Using potential well method, we first prove the invariance of some sets and vacuum isolating of solutions. Then, by the Galerkin method, we obtain the global existence and finite time blow-up of solutions with low initial energy and critical initial energy and discuss the asymptotic behavior of the solutions.

引用

页码：173 / 194

页数：22

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