| 一类拟线性椭圆型方程的奇摄动 |
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| 引用本文： | 谈骏渝.一类拟线性椭圆型方程的奇摄动[J].应用数学,1993(2). |
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| 作者姓名： | 谈骏渝 |
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| 作者单位： | 重庆大学应用数学系 630044 |
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| 摘 要： | 本文讨论了一类二阶拟线性椭圆型方程的奇摄动问题,给出了外部解和边界层项的N阶递推方程,并对余项进行了估计,从而导得了解的渐近展开式和摄动问题解的存在唯一性.
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| 关 键 词： | 奇摄动 渐近解 余项估计 |
Singular Pertubation of a Kind Quasilinear Elliptic Equation |
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| Tan Junyu.Singular Pertubation of a Kind Quasilinear Elliptic Equation[J].Mathematica Applicata,1993(2). |
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| Authors: | Tan Junyu |
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| Abstract: | The paper discusses the singular pertubation problem of 2-order quasilinear elliptic equation:The outer solution and N-order recurrence equation of boundary layer term are given, and the remainder terms are estimated. The asymptotic expansion of the solution and existence and uniqueness of the singular pertubation problem are obtained. Finally, the singular pertubation problem: is also discussed in this paper. |
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| Keywords: | Singular pertubation Asymptotic solution Estimation of remainder |
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