| 带有转向点的一类三阶偏微分方程边值问题的奇摄动 |
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| 引用本文： | 林宗池.带有转向点的一类三阶偏微分方程边值问题的奇摄动[J].福建师范大学学报(自然科学版),1992,8(3):1-6. |
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| 作者姓名： | 林宗池 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文研究极限方程在部分边界上为椭圆—抛物的一类三阶偏微分方程第一边值问题的奇摄动。在适当的假设下,证得解的存在并给出任意阶的一致有效的渐近展开式。
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| 关 键 词： | 三阶 偏微分方程 奇异摄动 |
Singular Perturbation of Boundary Value Problem of a Third Order Partial Differential Equations with the Turning Points |
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| Lin Zongchi.Singular Perturbation of Boundary Value Problem of a Third Order Partial Differential Equations with the Turning Points[J].Journal of Fujian Teachers University(Natural Science),1992,8(3):1-6. |
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| Authors: | Lin Zongchi |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper studies the singular perturbation of first boundary value problem of a third order partial differential equation with the limit equation is ellipticparabolic on partial boundary. Under suitable conditions we proved existence of solution and its uniformly valid asymptotic expansion of arbitrary order is given. |
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| Keywords: | third order partial differential equation elliptic-parabolic singular perturbation asymptotic expansion |
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