Thin waveguides with Robin boundary conditions

DOI10.1063/1.4768462zbMath1278.78002arXiv1207.4492OpenAlexW2164626708MaRDI QIDQ2872398

M. Luísa Mascarenhas, L. Trabucho, Guy Bouchitté

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4492

zbMATH Keywords

dimension reductionwaveguidescurvature and torsion

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sturm-Liouville theory (34B24) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (6)

Curvature-induced bound states in Robin waveguides and their asymptotical properties ⋮ Optimal design problems for Schrödinger operators with noncompact resolvents ⋮ On the existence of bound states in asymmetric leaky wires ⋮ CONVERGENCE OF SOLUTIONS TO SOME ELLIPTIC EQUATIONS IN BOUNDED NEUMANN THIN DOMAINS ⋮ Asymptotic spectral analysis in semiconductor nanowire heterostructures ⋮ Spectral asymptotics for an elliptic operator in a locally periodic perforated domain

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