| 边界摄动情况下一类二阶半线性椭圆型方程的边界层现象 |
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| 引用本文： | 周哲彦. 边界摄动情况下一类二阶半线性椭圆型方程的边界层现象[J]. 福建师范大学学报(自然科学版), 1989, 0(2) |
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| 作者姓名： | 周哲彦 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文考虑一类二阶半线性椭圆型方程的Dirichlet问题在边界摄动情况下的边界层现象。运用多参数展开法简捷地构造微分不等式,得到解的存在性及高阶一致有效渐近解。
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| 关 键 词： | 边界摄动 半线性 边界层 一致有效渐近解 余项估计 |
Boundary Layer Phenomena for a Class of Semilinear Elliptic Equation with Boundary Perturbation |
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| Zhou zheyan. Boundary Layer Phenomena for a Class of Semilinear Elliptic Equation with Boundary Perturbation[J]. Journal of Fujian Teachers University(Natural Science), 1989, 0(2) |
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| Authors: | Zhou zheyan |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In the paper, we study the singular perturbation phenomena-boundary layer, for a class of semilinear elliptic Dirichlet problem with two parameters both in operator and in boundary, and use the differential inequality theory to obtain the existence of the exact solution for the problem and its high order asymptotic expansion which is valid uniformly in the domain. |
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| Keywords: | boundary perturbation semilinear boundary layer uniformly valid asymptotic expansion estimation of the remainder |
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