Two-Dimensional Berezin-Li-Yau Inequalities with a Correction Term

被引：0

作者：

Hynek Kovařík

Semjon Vugalter

Timo Weidl

机构：

[1] Universität Stuttgart,Institute of Analysis, Dynamics and Modeling

来源：

Communications in Mathematical Physics | 2009年 / 287卷

关键词：

Correction Term; General Domain; Extended Domain; Spectral Asymptotics; Discrete Laplace Operator;

D O I：

暂无

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学科分类号：

摘要：

We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas, [11].

引用

页码：959 / 981

页数：22