On an inclusion of the essential spectrum of Laplacians under non-compact change of metric

DOI10.1090/S0002-9939-2011-10965-1zbMath1242.58016arXiv1103.2163MaRDI QIDQ2880666

Jun Masamune

Publication date: 13 April 2012

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

Full work available at URL: https://arxiv.org/abs/1103.2163

zbMATH Keywords

perturbationsessential spectrumessential self-adjointnessincomplete manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Cites Work

• Unnamed Item
• Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds
• On a stability of essential spectra of Laplace operators on non-compact Riemannian manifolds
• Pseudo-laplaciens. I
• Dirichlet forms and symmetric Markov processes
• A special Stoke's theorem for complete Riemannian manifolds
• Essential self adjointness of laplacians on riemannian manifolds with fractal boundary
• Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds
• Hilbert Space Methods in the Theory of Harmonic Integrals

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