Localized Eigenfunctions: Here You See Them, There You Don't

zbMath1194.35283arXiv0909.0783MaRDI QIDQ3568328

Robert S. Strichartz, Steven Heilman

Publication date: 17 June 2010

Full work available at URL: https://arxiv.org/abs/0909.0783

zbMATH Keywords

Laplace operatorlow frequencieslocalisation of eigenfunctions

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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (5)

On vanishing near corners of transmission eigenfunctions ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Localization of Neumann eigenfunctions near irregular boundaries ⋮ Invertibility of graph translation and support of Laplacian Fiedler vectors ⋮ Localization of eigenfunctions of the Laplace operator in a domain with a perforated barrier

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