Blow-Up Phenomena for a Fourth-Order Parabolic Equation with a General Nonlinearity

被引：0
作者：
Yuzhu Han
机构：
[1] Jilin University,School of Mathematics
来源：
Journal of Dynamical and Control Systems | 2021年 / 27卷
关键词：
Blow-up; Blow-up time; Fourth-order; General nonlinearity; Parabolic equation; 35B44; 35K25; 35K30;
D O I：
暂无
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学科分类号：
摘要：
This paper is concerned with the blow-up property of solutions to an initial boundary value problem for a fourth-order parabolic equation with a general nonlinearity. It is shown, under certain conditions on the initial data, that the solutions to this problem blow up in finite time, using differential inequalities. Moreover, upper and lower bounds for the blow-up time are derived when blow-up occurs. This extends and generalizes results obtained by Philippin (Proc AMS. 2015;143(6):2507–13) and by Han (Nonlinear Anal RWA. 2018;43:451–66).
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页码：261 / 270
页数：9
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