| 一类二阶常系数线性椭圆型方程组解的唯一性 |
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| 引用本文： | 李园庭.一类二阶常系数线性椭圆型方程组解的唯一性[J].南昌航空工业学院学报,2001,15(1):74-77. |
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| 作者姓名： | 李园庭 |
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| 作者单位： | 南昌航空工业学院应用工程系!江西南昌330034 |
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| 摘 要： | 本文给出了在相同的三种变换下将三个二阶方阵的对称化部分同时化为正定的条件，从而证明了一类二阶常系数线性椭圆型方程组能化为强椭圆型方程组，并利用这一结论证明了这类方程组在有界闭区域上Dirichlet问题解的是唯一的。
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| 关 键 词： | 椭圆型方程 偏微分方程 矩阵 解 唯一性 椭圆型方程组 二阶常系数线性 |
| 文章编号： | 1001-4926(2001)01-0074-04 |
The Uniqueness of the Solution for a Class of the Two-Order Linear Elliptical Equations with Constant Coefficient |
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| Li Yuanting.The Uniqueness of the Solution for a Class of the Two-Order Linear Elliptical Equations with Constant Coefficient[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2001,15(1):74-77. |
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| Authors: | Li Yuanting |
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| Abstract: | This paper gives a condition that the symmetry part of three two order matrixes can be changed into positive matrixes under the same three kinds of transformation,there for,it is proved that a class of the two order linear elliptical equations with constant coefficient can be changed into strongly elliptical equations.By use of this result,the uniqueness of the solution about the Dirichlet problem in bounded closed domain for this kind of equations is confirmed. |
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| Keywords: | Elliptical equation Partial differential equation Matrix Uniqueness of the solution Strongly elliptical equation |
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