| A CLASS OF SINGULARLY PERTURBED INITIAL BOUNDARY PROBLEM FOR REACTION DIFFUSION EQUATION |
| |
| 作者姓名： | XieFeng |
| |
| 作者单位： | Dept.ofAppl.Math.,ShanghaiJiaotongUniversity,China |
| |
| 基金项目： | The project is supported by the National Natural Science Foundation of China(No.10071048) |
| |
| 摘 要： | The singularly perturbed initial boundary value problem for a class of reaction diffusion equation is considered. Under appropriate conditions, the existence-uniqueness and the asymptotic behavior of the solution are showed by using the fixed-point theorem.
|
| 关 键 词： | 奇异扰动初边值问题 反应扩散方程 存在性 唯一性 形式渐近解 不动点定理 Banach空间 Lipschitz条件 |
| 收稿时间： | 27 July 2001 |
A class of singularly perturbed initial boundary problem for reaction diffusion equation |
| |
| XieFeng.A CLASS OF SINGULARLY PERTURBED INITIAL BOUNDARY PROBLEM FOR REACTION DIFFUSION EQUATION[J].Analysis in Theory and Applications,2003,19(1):14-19. |
| |
| Authors: | Xie Feng |
| |
| Institution: | (1) Dept. of Applied Math., Shanghia Jiaotong University, 200433 Shanghai, P. R. China |
| |
| Abstract: | The singularly perturbed initial boundary value problem for a class of reaction diffusion equation is considered. Under appropriate conditions, the existence-uniqueness and the asymptotic behavior of the solution are showed by using the fixed-point theorem. |
| |
| Keywords: | singular perturbation reaction diffusion equation fixed-point theorem |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
