数学
非线性系统
数学分析
类型(生物学)
边值问题
抛物型偏微分方程
初值问题
能量(信号处理)
能量法
物理
偏微分方程
量子力学
生态学
生物
统计
出处
期刊:Evolution Equations and Control Theory
日期:2020-08-17
卷期号:10 (4): 723-723
被引量:1
摘要
<p style='text-indent:20px;'>In this paper, an initial boundary value problem for a parabolic type Kirchhoff equation with time-dependent nonlinearity is considered. A new blow-up criterion for nonnegative initial energy is given and upper and lower bounds for the blow-up time are also derived. These results partially generalize some recent ones obtained by Han and Li in [Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy, Computers and Mathematics with Applications, 75(2018), 3283-3297].</p>
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