| 一类反应扩散方程解的熄灭现象 |
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| 引用本文： | 陈松林. 一类反应扩散方程解的熄灭现象[J]. 应用数学和力学, 2001, 22(11): 1217-1220 |
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| 作者姓名： | 陈松林 |
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| 作者单位： | 安徽工业大学数理系, 安徽马鞍山市, 243002 |
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| 基金项目： | 安徽省高校中青年学科带头人培养基金资助项目;教委科研项目基金资助项目(ggJL0166) |
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| 摘 要： | 利用能量估计方法讨论了下述反应扩散方程的初边值问题解的渐近性态,分别给出解熄灭的充分条件和必要条件。这里λ>0,γ>0,β>0为常数,Ω?RN为有界域。文末给出说明文中方法处理高阶方程的例子。
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| 关 键 词： | 反应扩散方程 熄灭 Lp估计 Bernoulli方程 |
| 文章编号： | 1000-0887(2001)11-1217-04 |
| 收稿时间： | 1999-12-14 |
| 修稿时间： | 1999-12-14 |
The Extinction Behavior of the Solutions for a Class of Reaction-Diffusion Equations |
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| CHEN Song-lin. The Extinction Behavior of the Solutions for a Class of Reaction-Diffusion Equations[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1217-1220 |
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| Authors: | CHEN Song-lin |
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| Affiliation: | Department of Mathematics Physics, Aahui University of Techn ology, Ma'anshan, Anhui 243002, P R China |
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| Abstract: | The methods of Lp estimation are used to discuss the extinction phenomena of the solutions to the following reaction-diffusion equations with initial-boudnary values A sufficient and a necessary condition about the extinction of the solutions is given.Here λ>0,γ>0,β>0 are constants,Ω?RN is bounded with smooth boundary Ω.At last,it is simulated with a higher order equation by using the present methods. |
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| Keywords: | reaction-diffusion equation extinction L~pestimation Bernoulli equation |
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