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

Author:

Kovařík Hynek,Vugalter Semjon,Weidl Timo

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference16 articles.

1. Berezin F.A.: Covariant and contravariant symbols of operators. Izv. Akad. Nauk SSSR Ser. Mat. 36, 1134–1167 (1972)

2. Freericks J.K., Lieb E.H., Ueltschi D.: Segregation in the Falicov-Kimball model. Commun. Math. Phys. 227, 243–279 (2002)

3. Goldbaum P.: Lower bound for the segregation in the Falicov-Kimball model. J. Phys. A. 36, 2227–2234 (2003)

4. Ivrii, V.: Microlocal analysis and precise spectral asymptotics. Springer Monographs in Mathematics. Berlin: Springer-Verlag, 1998

5. Ivrii, V.: The second term of the spectral asymptotics for a Laplace-Beltrami operator on manifolds with boundary. (Russian) Funk. Anal. i Pril. 14(2), 25–34 (1980)

Cited by 28 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem;Calculus of Variations and Partial Differential Equations;2023-06-13

2. The Lieb–Thirring inequalities: Recent results and open problems;Nine Mathematical Challenges;2021

3. Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain;Journal für die reine und angewandte Mathematik (Crelles Journal);2019-08-15

4. Berezin–Li–Yau inequalities on domains on the sphere;Journal of Mathematical Analysis and Applications;2019-05

5. Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains;Journal of Spectral Theory;2019-03-21

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3