| 摘要: |
| 用半群方法研究一类反应扩散方程ut-Δu+f(u)(∂u/∂xi)+g(u)=0的初边值问题。在n≤3,f(s),g(s)∈C2,g(s)s≥0的条件下,得到整体经典解的存在唯一性。给出这种解在有限时间内熄灭的一个充分条件。 |
| 关键词: 反应扩散方程 整体解 熄灭 |
| DOI： |
| 投稿时间：1995-07-10 |
| 基金项目: |
|
| Global Solution and Extinction for a Class of Reaction-diffusion Equations |
|
Fan Engui1, Pan Tao2
|
| (1.Zhangjiakou Agricultural College, Zhangjiakou, Hebei, 075131;2.Dept. of Math. and Info Sci., Guangxi Univ., 10 Xixiangtang Road, Nanning, Guangxi, 530004) |
| Abstract: |
| The initial-boundary value problems for a class of reaction-diffusion equation, ut-Δu +f(u) +g(u)=0, are studied by semigroup's method. Under the assumptions n ≤ 3,f(s),g(s)∈C2,g(s)s ≥ 0, the existence and uniqueness of the global solution for the problem are obtained. A sufficient condition of the extinction of the solution is given. |
| Key words: reaction-diffusion equation global solution extinction |
