摘要
研究定义在有界区域上的Schrdinger算子的离散谱,借助有关特征值估计的迹公式,采用一种新的方法证明了特征值Riesz平均的微分不等式和差分不等式,进而得到有关Riesz平均的单调性.
The discrete spectrum of Schr6dinger operators defined on a bounded domain were discussed, and using trace identity of eigenvalue estimates, differential inequalities and difference inequalities for Riesz means of Schrodinger operators were derived. In this meaning, the monotony principles about Riesz means were obtained.
出处
《上海理工大学学报》
CAS
北大核心
2010年第1期9-12,共4页
Journal of University of Shanghai For Science and Technology
基金
上海市教育委员会科研创新基金资助项目(08YZ94)
关键词
RIESZ平均
特征值
微分不等式
差分不等式
单调性
Riesz means
eigenvalue
differential inequality
difference inequality
monotony principle
