Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity

被引：10

作者：

Guo, Boling ^{[1
]}

Ding, Hang ^{[2
]}

Wang, Renhai ^{[1
]}

Zhou, Jun ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

ANALYSIS AND APPLICATIONS | 2022年 / 20卷 / 05期

关键词：

Kirchhoff-type parabolic equation; logarithmic nonlinearity; blow-up; GLOBAL EXISTENCE; LOCAL EXISTENCE; INSTABILITY; DECAY;

D O I：

10.1142/S021953052150038X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a Kirchhoff-type parabolic equation with logarithmic nonlinearity. By making a more general assumption about the Kirchhoff function, we establish a new finite time blow-up criterion. In particular, the blow-up rate and the upper and lower bounds of the blow-up time are also derived. These results generalize some recent ones in which the blow-up results were obtained when the Kirchhoff function was assumed to be a very special form.

引用

页码：1089 / 1101

页数：13

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