| 一类具有摄动边界的弱非线性反应扩散方程 |
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| 引用本文： | 莫嘉琪,陈丽华.一类具有摄动边界的弱非线性反应扩散方程[J].数学进展,2008,37(5). |
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| 作者姓名： | 莫嘉琪 陈丽华 |
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| 作者单位： | 1. 安徽师范大学,芜湖,安徽,241000;上海高校计算科学E-研究院,上海交通大学研究所,上海,200240;湖州师范学院,湖州,浙江,313000
2. 福建师范大学福清分校,福清,福建,350300 |
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| 基金项目： | the NSFC(No.40676016 and No.10471039).the National Key Basics Research Special Foundation of China，the Key Basic Research Foundation of the Chinese Academy of Sciences，in part by E-Institutes of Shanghai Municipal Education Commission |
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| 摘 要： | 研究了具有摄动边界的非线性反应扩散方程的问题.在适当的条件下,利用微分不等式理论,讨论了问题的渐近解.
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| 关 键 词： | 非线性 反应扩散 奇摄动 摄动边界 |
A Class of the Weakly Nonlinear Reaction Diffusion Equation With Perturbed Boundary |
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| MO Jiaqi,CHEN Lihua.A Class of the Weakly Nonlinear Reaction Diffusion Equation With Perturbed Boundary[J].Advances in Mathematics,2008,37(5). |
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| Authors: | MO Jiaqi CHEN Lihua |
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| Abstract: | A nonlinear problem for reaction diffusion equation with a perturbed boundary is considered.Under suitable conditions and using the theory of differential inequalities the uniformly valid asymptotic solution of the boundary value problem is studied. |
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| Keywords: | nonlinear reaction diffusion singular perturbation perturbed boundary |
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