数学
对数
数学分析
类型(生物学)
非线性系统
功能(生物学)
基尔霍夫积分定理
抛物型偏微分方程
偏微分方程
物理
生态学
量子力学
进化生物学
生物
求和方程
作者
Boling Guo,Hang Ding,Renhai Wang,Jun Zhou
标识
DOI:10.1142/s021953052150038x
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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