| 求解二阶线性椭圆算子A的特征值和特征向量 |
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| 引用本文： | 徐循.求解二阶线性椭圆算子A的特征值和特征向量[J].绵阳师范学院学报,2014(2):23-26. |
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| 作者姓名： | 徐循 |
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| 作者单位： | 湖北工业大学工程技术学院,湖北武汉430064 |
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| 摘 要： | 该文先定义了算子A的特征值和特征向量,再在空间HA的等价空间W01,2(Ω)上求出算子A的最小特征值,最后求出全部特征值与特征向量.
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| 关 键 词： | HA W01 2 (Ω) 特征值 特征向量 |
Solution to Eigenvalues and Eigenvectors of Second Order Linear Elliptic Operator A |
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| XU Xun.Solution to Eigenvalues and Eigenvectors of Second Order Linear Elliptic Operator A[J].Journal of Mianyang Normal University,2014(2):23-26. |
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| Authors: | XU Xun |
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| Institution: | XU Xun ( College of Engineering Technology, Hubei University of Technology, Wuhan, Hubei 430064) |
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| Abstract: | First, the definition of the eigenvalue and eigenvector of the operator A was given in this paper. 1,2 Then, the smallest eigenvalue of the operator A in the space W0^1,2 （Ω） which is equivalent with HA was calculated. Finally, all the eigenvalues and eigenvectors were calculated |
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| Keywords: | space of HA space of W0^1 2 （Ω） eigenvalue eigenvector |
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