| N维超球域上一类具有转向点的二阶线性椭圆方程的奇异摄动 |
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| 引用本文： | 魏雪蕊.N维超球域上一类具有转向点的二阶线性椭圆方程的奇异摄动[J].安徽师范大学学报(自然科学版),2011,34(3):210-213. |
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| 作者姓名： | 魏雪蕊 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴,312000 |
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| 基金项目： | 国家自然科学基金重点资助项目，绍兴文理学院重点资助项目 |
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| 摘 要： | 讨论了n维空间中一类具有转向点的奇异摄动二阶椭圆型方程的边值问题,通过分析相关方程产生共振的必要条件和充分条件,确定了椭圆方程Dirichlet问题解的渐近性态.
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| 关 键 词： | 奇异摄动 转向点 共振 匹配法 渐近性态 |
The Singularly Perturbed Boundary Value Problems for the Second-Order Elliptic Equation on the Super Sphere of n-Dimension |
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| WEI Xue-rui.The Singularly Perturbed Boundary Value Problems for the Second-Order Elliptic Equation on the Super Sphere of n-Dimension[J].Journal of Anhui Normal University(Natural Science Edition),2011,34(3):210-213. |
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| Authors: | WEI Xue-rui |
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| Institution: | WEI Xue-rui(Department of Mathematics,Shaoxing University,Shaoxing 312000,China) |
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| Abstract: | A class of singularly perturbed elliptic equation boundary value problems with a turning point in n-dimensional space is considered. Through considering the necessary and sufficient condition at resonance,the asymptotic behaviors of the solutions for the boundary value problem of elliptic equation are obtained. |
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| Keywords: | singular perturbation turning point resonance matching method asymptotic behavior |
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