| 具一般非线性项抛物型Kirchhoff方程解的有限时间爆破 |
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| 引用本文： | 李海霞,曹春玲. 具一般非线性项抛物型Kirchhoff方程解的有限时间爆破[J]. 吉林大学学报(理学版), 2002, 57(4): 747-752 |
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| 作者姓名： | 李海霞 曹春玲 |
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| 作者单位： | 1. 长春师范大学 数学学院, 长春 130032; 2. 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 考虑一类具一般非线性项的抛物型Kirchhoff方程解的有限时间爆破问题, 借助一阶微分不等式和凸方法, 给出解在有限时刻爆破的一些充分条件, 并得到了爆破时间的上界估计.
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| 关 键 词： | Kirchhoff方程 一般非线性项 爆破 上界 |
| 收稿时间： | 2018-08-22 |
Finite Time Blow Up of Solutions to Parabolic TypeKirchhoff Equation with General Nonlinearity |
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| LI Haixia,CAO Chunling. Finite Time Blow Up of Solutions to Parabolic TypeKirchhoff Equation with General Nonlinearity[J]. Journal of Jilin University: Sci Ed, 2002, 57(4): 747-752 |
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| Authors: | LI Haixia CAO Chunling |
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| Affiliation: | 1. School of Mathematics, Changchun Normal University, Changchun 130032, China;2. College of Mathematics, Jilin University, Changchun 130012, China
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| Abstract: | We considered the finite timeblow up of solutions to a class of parabolic type Kirchhoff equations with general nonlinearity. By using the first order differential inequality and convexity arguments, we gave some sufficient conditions for the solutions to blowup in finite time, and obtained the upper bound estimate of the blow up time. |
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| Keywords: | Kirchhoff equation general nonlinearity blow up upper bound |
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