Bound states in waveguides with complex Robin boundary conditions

DOI10.3233/ASY-151338zbMath1381.35110arXiv1409.0626MaRDI QIDQ2805928

Radek Novák

Publication date: 13 May 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0626

zbMATH Keywords

essential spectrumRobin boundary conditionsspectral analysiswaveguideweak couplingBirman-Schwinger principlenon-self-adjointnessreality of the spectrum

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (6)

On the discrete spectrum of Schrödinger operators with Ahlfors regular potentials in a strip ⋮ Spectra of definite type in waveguide models ⋮ On the eigenvalues of spectral gaps of elliptic PDEs on waveguides ⋮ On the eigenvalues of quantum graph Laplacians with large complex \(\delta\) couplings ⋮ Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry ⋮ On the eigenvalues of the Robin Laplacian with a complex parameter

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