Spectral deformations and exponential decay of eigenfunctions for the Neumann Laplacian on manifolds with quasicylindrical ends

DOI10.1016/j.jmaa.2015.07.008zbMath1321.58026OpenAlexW921581825MaRDI QIDQ493802

Victor Kalvin

Publication date: 4 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.008

zbMATH Keywords

embedded eigenvaluesperfectly matched layercomplex scalinganalytic dilationseigenfunction decayeigenvalue accumulation

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Cites Work

• Analysis of perfectly matched layer operators for acoustic scattering on manifolds with quasicylindrical ends
• Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators
• Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems
• A perfectly matched layer for the absorption of electromagnetic waves
• Spectral asymptotics for manifolds with cylindrical ends
• Forward and inverse scattering on manifolds with asymptotically cylindrical ends
• SPECTRAL DEFORMATIONS FOR QUASICYLINDRICAL DOMAINS
• Limiting Absorption Principle and Perfectly Matched Layer Method for Dirichlet Laplacians in Quasi-cylindrical Domains
• Existence theorems for trapped modes
• Eigenfunction Decay and Eigenvalue Accumulation for the Laplacian on Asymptotically Perturbed Waveguides
• Théorie spectrale de quelques variétés à bouts
• SPECTRAL ASYMPTOTICS OF THE LAPLACE OPERATOR ON MANIFOLDS WITH CYLINDRICAL ENDS
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