Perturbation of an eigenvalue in the continuous spectrum of a waveguide with an asymmetric obstacle

DOI10.1134/S1064562411060202zbMath1234.35165OpenAlexW2004342788MaRDI QIDQ653051

Sergueï A. Nazarov

Publication date: 6 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411060202

zbMATH Keywords

continuous spectrumLaplace operatorNeumann boundary conditionspoint spectrumwaveguideasymmetric obstacleeigenvalue problem, eigenvalue perturbationforced stabilityperturbed obstacle boundary

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Antennas, waveguides in optics and electromagnetic theory (78A50)

Cites Work

• Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold
• Embedded trapped modes in water waves and acoustics
• Elliptic problems in domains with piecewise smooth boundaries
• [Russian Text Ignored.]
• Existence theorems for trapped modes
• Complex resonances in acoustic waveguides

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