| 一类高阶退缩抛物型偏微分方程组解的加权L_1模的有界性及爆破性 |
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| 引用本文： | 关江.一类高阶退缩抛物型偏微分方程组解的加权L_1模的有界性及爆破性[J].高师理科学刊,2004,24(4):4-7. |
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| 作者姓名： | 关江 |
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| 作者单位： | 大庆石油学院,数学系,黑龙江,大庆,163318 |
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| 摘 要： | 作者利用与所讨论方程组相应的方程的第一特征值及特征函数 ,定义了可积函数的加权模并研究了所讨论的具退缩性或奇性的高阶非线性反应 -扩散方程组非负解的爆破性和全局有界性 .
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| 关 键 词： | 反应扩散 高阶方程组 爆破性 有界性 |
| 文章编号： | 1007-9831(2004)04-0004-04 |
| 修稿时间： | 2004年8月25日 |
Blow-up and global bound in a weighted norm to the solutions of ahigher order degenerate system of parabolic equations |
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| GUANG Jiang.Blow-up and global bound in a weighted norm to the solutions of ahigher order degenerate system of parabolic equations[J].Journal of Science of Teachers＇College and University,2004,24(4):4-7. |
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| Authors: | GUANG Jiang |
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| Abstract: | Studied a system of higher order nonlinear reaction-diffusion equations with degeneracy or singularities by using corresponding eigenvalues and eigenfunctions to some suitable higher order equations.It is shown that if the nonlinear terms in the system grow fast,the solution will blow up in the weighted norm at a finite time and if the nonlinear terms in the system grow in a reasonable speed,the solution will be bounded in the norm defined in this paper in any finite time. |
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| Keywords: | reaction-diffusion system of higher order equations blow-up boundedness |
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