Global Existence and Blow-up of Solutions for a Class of Singular Parabolic Equations with Viscoelastic Term

被引：1

作者：

Gao, Yanchao ^{[1
]}

Jia, Wenxu ^{[1
]}

Feng, Zhixin ^{[2
]}

机构：

[1] Changchun Univ Sci & Technol, Sch Math & Stat, Changchun 130022, Peoples R China

[2] Jilin Normal Univ, Sch Math & Comp, Siping 136000, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2024年 / 2024卷

关键词：

SEMILINEAR HEAT-EQUATION;

D O I：

10.1155/2024/5754129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the initial boundary value problem for a class of singular parabolic equations with viscoelastic term and logarithmic term. By using the technique of cut-off and the method of Faedo-Galerkin approximation, the local existence of the weak solution is established. Based on the potential well method, the global existence of the weak solution is derived. Furthermore, we prove that the weak solution blows up in finite time by taking the concavity analysis method.

引用

页数：12

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