| 多调和算子组的谱估计 |
| |
| 引用本文： | 陈祖墀.多调和算子组的谱估计[J].中国科学技术大学学报,1991,21(1):1-9. |
| |
| 作者姓名： | 陈祖墀 |
| |
| 作者单位： | 中国科学技术大学数学系 |
| |
| 基金项目： | This project is Supported partially by the Research Funds for Doctoral Programs at Higher Educational Institutions and Nation Science Fund of China. |
| |
| 摘 要： | 设Ω是R~m(m≥2)中一个有界区域,考虑多调和算子组的特征值问题AΛ(△)u~T=λu~T,x∈Ωu~k=(?)u~k/(?)n=…=(?)~(k-1)u~k/(?)n~(k-1)=0,x∈(?)Ω,k=1,2,…,N其中,u=(u~1,u~2,…,u~N),n是(?)Ω的单位外法向量。将特征值按增加的顺序排列为0<λ_1≤λ_2≤…≤λ_n≤…则成立如下不等式λ_(n 1)≤λ_n 4/m~2n~2(sum from i=1 to n sum from h=1 to N λ_i~(1/k))(sum from i=1 to n sum from k=1 to N k(2k m-2)λ_i~(1-1/k)) sum from i=1 to n sum from k=1 to N λ_i~(1/k)/λ_(n 1)-λ_i≥m~2n~2/(sum from i=1 to n sum from k=1 to N 4k(2k m-2)λ_i~(1-1/k))
|
| 关 键 词： | 多调和算子组 特征值 离散谱 |
Spectrum Estimate for System of Polyharmonic Operators |
| |
| Chen Zuchi.Spectrum Estimate for System of Polyharmonic Operators[J].Journal of University of Science and Technology of China,1991,21(1):1-9. |
| |
| Authors: | Chen Zuchi |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | |
| |
| Keywords: | system of polyharmonic operators eigenvalue discrete spectrum |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
