Refined bounds for the eigenvalues of the Klein-Gordon operator

DOI10.1090/S0002-9939-2013-11806-XzbMath1314.35076OpenAlexW2019445061MaRDI QIDQ2855908

Türkay Yolcu

Publication date: 23 October 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11806-x

zbMATH Keywords

eigenvalueinequalitycounting functionBerezin-Li-YauKlein-Gordon

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (6)

Lower bounds for fractional Laplacian eigenvalues ⋮ Eigenvalue bounds for the poly-harmonic operators ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian ⋮ A short proof of Weyl's law for fractional differential operators ⋮ Refined eigenvalue bounds on the Dirichlet fractional Laplacian

Cites Work

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• On the Schrödinger equation and the eigenvalue problem
• The asymptotic distribution of the eigenvalues for a class of Markov operators
• Eigenvalue inequalities for Klein-Gordon operators
• Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators
• BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN
• An improvement to a Berezin-Li-Yau type inequality
• A lower bound for sums of eigenvalues of the Laplacian
• Estimates on the eigenvalues of the clamped plate problem on domains in Euclidean spaces

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