Global Existence and Blow-up of Solutions for a Class of Singular Parabolic Equations with Viscoelastic Term-Reference-Cited by-同舟云学术

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

Published:2024-05-28 Issue: Volume:2024 Page:1-12
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Gao Yanchao¹^ORCID,Jia Wenxu¹,Feng Zhixin²

Affiliation:

1. School of Mathematics and Statistics, Changchun University of Science and Technology, Changchun, China

2. School of Mathematics and Computer, Jilin Normal University, Siping, China

Abstract

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.

Funder

Jilin Scientific and Technological Development Program

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/jfs/2024/5754129.pdf

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