Spectral theory of Laplace-Beltrami operators with periodic metrics
From MaRDI portal
Publication:678030
DOI10.1006/jdeq.1996.3204zbMath0924.35087OpenAlexW2028498637MaRDI QIDQ678030
Publication date: 16 April 1997
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.3204
scalar curvaturearbitrarily large number of spectral gapsperiodic conformal metricspecial transformations
General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Transform methods (e.g., integral transforms) applied to PDEs (35A22)
Related Items (17)
Complete manifolds with bounded curvature and spectral gaps ⋮ Opening of a gap in the continuous spectrum of a periodically perturbed waveguide ⋮ Gap in a continuous spectrum of an elastic waveguide with a partly clamped surface ⋮ Opening up and control of spectral gaps of the Laplacian in periodic domains ⋮ Gap in the essential spectrum of an elliptic formally self-adjoint system of differential equations ⋮ Bands in the spectrum of a periodic elastic waveguide ⋮ Creating and controlling band gaps in periodic media with small resonators ⋮ Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator ⋮ Gap opening in the essential spectrum of the elasticity theory problem in a periodic half-layer ⋮ Essential spectrum of a periodic elastic waveguide may contain arbitrarily many gaps ⋮ A gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surface ⋮ An overview of periodic elliptic operators ⋮ Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains ⋮ A gap in the spectrum of the Neumann–Laplacian on a periodic waveguide ⋮ Spectral properties of periodic media in the large coupling limit ⋮ Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed traps ⋮ Periodic manifolds with spectral gaps
This page was built for publication: Spectral theory of Laplace-Beltrami operators with periodic metrics
