Localization of eigenfunctions of the Laplace operator in a domain with a perforated barrier

DOI10.1134/S0965542519060046zbMath1427.35160OpenAlexW2953948826MaRDI QIDQ2337149

A. L. Delitsyn

Publication date: 19 November 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519060046

zbMATH Keywords

spectral problemslocalization of eigenfunctionsperforated barrier

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Two-parameter localization for eigenfunctions of a Schrödinger operator in balls and spherical shells

Cites Work

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• The discrete spectrum of the Laplace operator in a cylinder with locally perturbed boundary
• Characteristic frequencies of bodies with thin spikes. I: Convergence and estimates
• On eigenfrequencies of bodies with thin branches. II: Asymptotics
• Geometrical Structure of Laplacian Eigenfunctions
• Localized Eigenfunctions: Here You See Them, There You Don't
• On the eigenvalues of a “dumb-bell with a thin handle”

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