Asymptotic analysis of the high frequencies for the Laplace operator in a thin t-like shaped structure

DOI10.1016/j.matpur.2019.06.005zbMath1435.35265OpenAlexW2955399861WikidataQ127585445 ScholiaQ127585445MaRDI QIDQ2286498

M.-E. Pérez-Martínez, Antonio Gaudiello, Delfina Gómez

Publication date: 22 January 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10902/18096

zbMATH Keywords

junctionsLaplace operatorspectral problemthin structureshigh frequencies

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Junctions (74K30)

Related Items (10)

Spectral gaps for the linear water‐wave problem in a channel with thin structures ⋮ On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set ⋮ On junction problem with damage parameter for Timoshenko and rigid inclusions inside elastic body ⋮ Ventcel-type transmission conditions for the scattering of a time-harmonic wave problem with accuracy up to order 3 ⋮ A spectral problem for the Laplacian in joined thin films ⋮ T-junction of ferroelectric wires ⋮ Equilibrium problem for elastic body with delaminated T-shape inclusion ⋮ Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node ⋮ T-shape inclusion in elastic body with a damage parameter ⋮ Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary

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