On Riesz Means of Eigenvalues

DOI10.1080/03605302.2011.595865zbMath1237.35123arXiv0712.4088OpenAlexW2086053497MaRDI QIDQ3094717

Evans M. II. Harrell, Lotfi Hermi

Publication date: 25 October 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.4088

zbMATH Keywords

Schrödinger operatoreigenvalue asymptoticsDirichlet LaplacianBerezin-Li-Yau inequalities

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (11)

BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN ⋮ A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions ⋮ Eigenvalue bounds for the poly-harmonic operators ⋮ Geometric bounds for the magnetic Neumann eigenvalues in the plane ⋮ Eigenvalue bounds of mixed Steklov problems ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres ⋮ Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian ⋮ Spectral properties of the Dirichlet operator $\sum _{i=1}^{d}(-\partial _i^2)^{s}$∑i=1d(−∂i2)s on domains in d-dimensional Euclidean space ⋮ On the Placement of an Obstacle So As to Optimize the Dirichlet Heat Trace ⋮ Estimates the upper bounds of Dirichlet eigenvalues for fractional Laplacian ⋮ Trace identities for commutators, with applications to the distribution of eigenvalues

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