| 四阶椭圆型偏微分方程解的多重边界层性质 |
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| 引用本文： | 林宗池.四阶椭圆型偏微分方程解的多重边界层性质[J].福建师范大学学报(自然科学版),1995(4). |
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| 作者姓名： | 林宗池 |
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| 基金项目： | 国家自然科学基金,福建省自然科学基金 |
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| 摘 要： | 研究某类四阶椭圆型偏微分方程奇摄动边值问题解的多重边界层性质．根据不同层次引用不同的伸长变量，分别构造了具有不同量级的边界层校正项，同时给出证明摄动问题解存在的充分条件，进而证得关于解的一致有效的渐近展开式和有关的余项估计．
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| 关 键 词： | 椭圆型方程，奇异摄动，多重边界层现象 |
Multiple Boundary Layer Behaviours of Solution for a Fourth Order Elliptic Partial Differential Equation |
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| Lin Zongchi.Multiple Boundary Layer Behaviours of Solution for a Fourth Order Elliptic Partial Differential Equation[J].Journal of Fujian Teachers University(Natural Science),1995(4). |
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| Authors: | Lin Zongchi |
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| Institution: | Department of Mathematics |
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| Abstract: | in this paper the author studied the multiple boundary layer behaviours of solution of boundary value problem for a fourth order elliptic partial differential equation. According to the various layer sequence he used various stretch variables and respectively constructed boundary layer correction terms with various quantitative order,and the sufficient conditions for proving existence of solution of the singular perturbation problem are given. Thereby, the uniformly valid asymptotic expansion of solution and the estimation of corresponding to the remainder term are obtained. |
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| Keywords: | elliptic equation singular perturbation multiple boundary layer phenomena |
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