SPECTRAL DEFORMATIONS FOR QUASICYLINDRICAL DOMAINS

DOI10.1142/S0219199712500654zbMath1273.35194arXiv0906.0601WikidataQ126165196 ScholiaQ126165196MaRDI QIDQ2853995

Victor Kalvin

Publication date: 17 October 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0601

zbMATH Keywords

spectral propertieselliptic problemsquasicylindrical domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Analysis of perfectly matched layer operators for acoustic scattering on manifolds with quasicylindrical ends ⋮ Spectral deformations and exponential decay of eigenfunctions for the Neumann Laplacian on manifolds with quasicylindrical ends

Cites Work

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• Spectral analysis of the Laplacian in domains with cylinders
• Spectral asymptotics for manifolds with cylindrical ends
• Forward and inverse scattering on manifolds with asymptotically cylindrical ends
• Limiting Absorption Principle and Perfectly Matched Layer Method for Dirichlet Laplacians in Quasi-cylindrical Domains
• Examples of embedded eigenvalues for the Dirichlet Laplacian in perturbed waveguides
• 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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