| 一类高阶椭圆算子特征值的上界 |
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| 引用本文： | 刘兴涛,陈祖墀.一类高阶椭圆算子特征值的上界[J].中国科学技术大学学报,2002,32(1):37-44. |
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| 作者姓名： | 刘兴涛 陈祖墀 |
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| 作者单位： | 中国科学技术大学数学系,安徽合肥,230026 |
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| 基金项目： | TheprojectsupportedbyNNSF( 10 0 710 80 )andNNSYF( 10 10 10 2 4 ) |
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| 摘 要： | 讨论了一类加权特征值问题的二相邻特征值之差λn 1-λn,n=1,2,…，的上界以及第n个特征值的上界，这些界依赖于前面的n-1个特征值及方程的系数，而与区域的几何量无关。
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| 关 键 词： | 一致椭圆算子 加权特征值问题 特征值 高阶椭圆算子特征值 上界 特征方程 |
| 文章编号： | 0253-2778(2002)01-0037-08 |
The Upper Bound of Eigenvalues for Elliptic Operators of Higher Orders |
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| Abstract.The Upper Bound of Eigenvalues for Elliptic Operators of Higher Orders[J].Journal of University of Science and Technology of China,2002,32(1):37-44. |
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| Authors: | Abstract |
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| Abstract: | This paper discusses the weighted eigenvalue problem that is the upper bound for the difference of consecutive eigenvalues λn+1 and λn, for n=1,2,…, to a calss of uniformly elliptic operators of higher orders. The upper bound of the difference λn+1-λn depends on the first n-1 eigenvalues and the coefficients in equations, and is independent of the geometry of the domain. This work is a generalization of some previous studies. |
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| Keywords: | uniformly elliptic operator weighted eigenvalue problem eigenvalue |
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