一类反应扩散方程解的熄灭现象

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;安徽省教委科研项目基金资助项目(ggJL0166)

The Extinction Behavior of the Solutions for a Class of Reaction-Diffusion Equations

Department of Mathematics Physics, Aahui University of Techn ology, Ma'anshan, Anhui 243002, P R China

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⊂R^N为有界域。文末给出说明文中方法处理高阶方程的例子。
- 反应扩散方程 /
- 熄灭 /
- L^p估计 /
- Bernoulli方程
Abstract: The methods of L^p 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⊂R^N is bounded with smooth boundary Ω.At last,it is simulated with a higher order equation by using the present methods.
- reaction-diffusion equation /
- extinction /
- L^p estimation /
- Bernoulli equation

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