On the eigenvalue counting function for weighted Laplace-Beltrami operators

DOI10.1007/BF02921827zbMath0982.58021MaRDI QIDQ1589324

Maria Lianantonakis

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

spectrumeigenvalue counting functionweighted Laplace operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General theory of partial differential operators (47F05)

Related Items (3)

Singular Weyl’s law with Ricci curvature bounded below ⋮ Weyl's law for singular Riemannian manifolds ⋮ SHARP SPECTRAL ESTIMATES IN DOMAINS OF INFINITE VOLUME

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonclassical eigenvalue asymptotics
• Trace properties of the Dirichlet Laplacian
• Spectrum of domains in Riemannian manifolds
• Dirichlet-Neumann bracketing for horn-shaped regions
• On the spectral counting function for the Dirichlet Laplacian
• Heat kernel and Hardy estimates for locally Euclidean manifolds with fractal boundaries
• Heat kernel bounds, conservation of probability and the Feller property
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Heat Kernel Bounds for Second Order Elliptic Operators on Riemannian Manifolds
• Non-classical spectral asymptotics
• L ¹ Properties of Two Classes of Singular Second Order Elliptic Operators
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• Ultracontractive Heat Kernel Bounds for Singular Second Order Elliptic Operators

This page was built for publication: On the eigenvalue counting function for weighted Laplace-Beltrami operators