Examples of plentiful discrete spectra in infinite spatial cruciform quantum waveguides

DOI10.4171/ZAA/1591zbMath1368.65225arXiv1604.05564OpenAlexW2963129091MaRDI QIDQ2013230

Sergey Matveenko, Fedor L. Bakharev, Sergueï A. Nazarov

Publication date: 16 August 2017

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05564

zbMATH Keywords

asymptoticslocalization of eigenfunctionscruciform waveguidemultiplicity of discrete spectrumthin quantum lattices

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension ⋮ Rectangular lattices of cylindrical quantum waveguides. I. Spectral problems on a finite cross ⋮ Localization of eigenfunctions in a narrow Kirchhoff plate ⋮ Eigenvalue asymptotics of long Kirchhoff plates with clamped edges ⋮ Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides

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