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.
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页码：1089 / 1101
页数：13
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