Existence of the spectral gap for elliptic operators

DOI10.1007/BF02412223zbMath1075.35540arXivmath/9804151OpenAlexW3099223421MaRDI QIDQ1409057

Feng-Yu Wang

Publication date: 30 September 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804151

zbMATH Keywords

Spectral gapEssential spectrumElliptic operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Applications of stochastic analysis (to PDEs, etc.) (60H30)

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Cites Work

• Pure point spectrum and negative curvature for noncompact manifolds
• The radial part of Brownian motion on a manifold: A semimartingale property
• General formula for lower bound of the first eigenvalue on Riemannian manifolds
• Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
• On the essential spectrum of the Laplacian on complete manifolds
• Bound on the mass gap for finite volume stochastic Ising models at low temperature
• Estimation of the first eigenvalue of second order elliptic operators
• Spectral gap for diffusion processes on noncompact manifolds
• Estimation of spectral gap for elliptic operators
• On a lower bound for the first eigenvalue of the Laplace operator on a riemannian manifold
• Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.

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