| 半线性奇摄动反应扩散方程初边值问题解的渐近性(英文) |
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| 引用本文： | 陈松林.半线性奇摄动反应扩散方程初边值问题解的渐近性(英文)[J].应用数学,2001,14(2):17-21. |
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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, |
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| 基金项目： | The project supported by grants from the committee of education in Anhui province for the mid-aged oryoung discipline leaders & Natural Science Research(No. 99JL0166) |
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| 摘 要： | 本文运用边界层以及角点层函数法构造了一类半线性奇摄动反应扩散方程初边值问题解的渐近展开式 ,并用微分不等式方法证明了该展式达到任一精度的一致有效性
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| 关 键 词： | 渐近性 边界与角点层函数 反应扩散问题 比较定理 |
| 文章编号： | 1001-9847(2001)02-0017-05 |
| 修稿时间： | 2000年7月23日 |
Asymptotics of the Solution of a Initial-boundary Problem for a Semilinear Singularly Perturbed Reaction Diffusion Equation |
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| Abstract: | In present paper, the asymptotic expansion of solution of a initial-boundary problem for asemilinear singularly perturbed reaction-diffusion equation is constructed by the methods of boundarylayer function. In particular, the corner point layer functions are involved. The uniform validity ofthe constructed asymptotic expansion is studied by the methods of differetial inequalities. |
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| Keywords: | Asymptotics Boundary and corner point layer functions Reaction diffusion Comparison theorem |
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