Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides

DOI10.1090/spmj/1679zbMath1480.35105arXiv1705.10481OpenAlexW3210702310MaRDI QIDQ5014086

Fedor L. Bakharev, Sergueï A. Nazarov

Publication date: 1 December 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10481

zbMATH Keywords

Dirichlet problemHelmholtz equationjunction of quantum waveguides

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Spectral gaps in a thin-walled infinite rectangular Dirichlet box with a periodic family of cross walls ⋮ Spectrum of the Dirichlet Laplacian in a thin cubic lattice ⋮ Localization of eigenfunctions in the Dirichlet beaker ⋮ Eigenvalue asymptotics of long Kirchhoff plates with clamped edges

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