Spectral asymptotics for manifolds with cylindrical ends

DOI10.5802/aif.1455zbMath0818.58046OpenAlexW2321190519MaRDI QIDQ1842215

Tanya Christiansen, Maciej Zworski

Publication date: 18 April 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_1_251_0

zbMATH Keywords

spectral asymptotics

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Scattering theory of linear operators (47A40) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (18)

Spectral determinants on Mandelstam diagrams ⋮ Asymptotics for a resonance-counting function for potential scattering on cylinders ⋮ On the spectral asymptotics of operators on manifolds with ends ⋮ Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends ⋮ Resonances for Schrödinger operators on infinite cylinders and other products ⋮ Wodzicki residue for operators on manifolds with cylindrical ends ⋮ Eigenvalues of Schrödinger operators with potential asymptotically homogeneous of degree $-2$ ⋮ Spectral deformations and exponential decay of eigenfunctions for the Neumann Laplacian on manifolds with quasicylindrical ends ⋮ Weyl laws on open manifolds ⋮ SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS ⋮ Positive curvature and eigenfunctions of the Laplacian ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends ⋮ Weyl asymptotics for the Laplacian on manifolds with asymptotically cusp ends ⋮ Computation of scattering matrices and their derivatives for waveguides ⋮ SPECTRAL DEFORMATIONS FOR QUASICYLINDRICAL DOMAINS ⋮ On the resonances of the Laplacian on waveguides ⋮ Manifolds with cylindrical ends having a finite and positive number of embedded eigenvalues ⋮ Inverse resonance scattering on rotationally symmetric manifolds

Cites Work

• Eigenvalue estimates for certain noncompact manifolds
• Pseudo-laplaciens. II
• Spectral geometry and scattering theory for certain complete surfaces of finite volume
• Scattering theory for manifolds with asymptotically cylindrical ends
• The spectral function of an elliptic operator
• The Selberg zeta function and a local trace formula for Kleinian groups.
• Scattering Theory for Automorphic Functions. (AM-87)
• Weyl asymptotics for the phase in obstacle scattering
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