| 二阶拟线性椭圆型方程的奇摄动 |
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| 引用本文： | 谈骏渝.二阶拟线性椭圆型方程的奇摄动[J].重庆大学学报(自然科学版),1991,14(3):101-108. |
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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 |
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| 摘 要： | 讨论了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： | 拟线性 椭圆型方程 奇异摄动 |
THE SINGULAR PERTURBATION OF 2-ORDER QUASILINEAR ELLIPTIC EQUATION |
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| Tan Junyu.THE SINGULAR PERTURBATION OF 2-ORDER QUASILINEAR ELLIPTIC EQUATION[J].Journal of Chongqing University(Natural Science Edition),1991,14(3):101-108. |
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| Authors: | Tan Junyu |
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| Abstract: | The singular perturbation problem of 2-order quasilinear elliptic is discussed, the outer solution and N-order successive equation of boundary layer term is given,and the remaind term is estimated. Hence,the asymptotic expantion of solution and the existence and uniqueness of the solution of the perturbation problem are derived. |
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| Keywords: | quasilinear elliptic equation singular perturbation boundary layer asymptotic expantion |
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