Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
Author:
Publisher
EDP Sciences
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Link
http://www.esaim-cocv.org/10.1051/cocv/2012016/pdf
Reference28 articles.
1. Alves C.J.S. and Antunes P.R.S., The method of fundamental solutions applied to the calculation of eigenfrequencies and eigenmodes of 2D simply connected shapes.Comput. Mater. Continua2(2005) 251–266.
2. P.R.S. Antunes and P. Freitas, Numerical optimization of low eigenvalues of the Dirichlet and Neumann Laplacians.J. Optim. Theory Appl.154(2012). DOI: 10.1007/s10957-011-9983-3.
3. Bossel M.-H., Membranes élastiquement liées : extension du théorème de Rayleigh–Faber–Krahn et de l’inégalité de Cheeger.C. R. Acad. Sci. Paris Sér. I Math.302(1986) 47–50.
4. D. Bucur, Minimization of thekth eigenvalue of the Dirichlet Laplacian. Preprint (2012).
5. Bucur D. and Daners D., An alternative approach to the Faber-Krahn inequality for Robin problems.Calc. Var. Partial Differ. Equ.37(2010) 75–86.
Cited by 17 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. Some spectral comparison results on infinite quantum graphs;Journal of Mathematical Physics;2024-07-01
2. Comparing the spectrum of Schrödinger operators on quantum graphs;Proceedings of the American Mathematical Society;2023-09-01
3. Existence and regularity of optimal shapes for spectral functionals with Robin boundary conditions;Journal of Differential Equations;2022-10
4. Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones;Journal of Spectral Theory;2022-09-21
5. Differences Between Robin and Neumann Eigenvalues;Communications in Mathematical Physics;2021-11-02
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