| 一类退化椭圆型方程的边值问题解的存在性及唯一性 |
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| 引用本文： | 田凤.一类退化椭圆型方程的边值问题解的存在性及唯一性[J].中国海洋大学学报(自然科学版),2000,30(2):357-363. |
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| 作者姓名： | 田凤 |
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| 作者单位： | 广东工业大学数理系,广州,510643 |
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| 摘 要： | 运用逼近理论及矩阵理论证明 :如果一类退化椭圆型方程在非退化边界上满足第三边界条件 ,在退化边界上满足给定微商值 ,那么它的解是存在且唯一的。
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| 关 键 词： | 椭圆型方程 退化 边值问题 |
Existence and Uniqueness of Solution for Boundary Value Problem for a Degenerate Elliptic Equation of the First Class |
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| Tian Feng.Existence and Uniqueness of Solution for Boundary Value Problem for a Degenerate Elliptic Equation of the First Class[J].Periodical of Ocean University of China,2000,30(2):357-363. |
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| Authors: | Tian Feng |
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| Abstract: | It is proved by using the function approximation theory and martrix theory that for a degenerate elliptic equation of the first class, if the third boundary value condition is satisfied at its nondegenerate boundary and the given derivative values are satisfied at its degenerate boundary, then its solution is existent and unique. |
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| Keywords: | elliptic equation degeneracy boundary value problem |
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