Spectral analysis of the Laplacian in distorted periodic waveguides

DOI10.1007/BF01351371zbMath0399.35082MaRDI QIDQ1254672

William C. Lyford

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163175

zbMATH Keywords

Spectral AnalysisLaplace Equation

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Quantum-mechanical scattering in exterior domains with impenetrable periodic boundaries and short-range potentials ⋮ Quantum-mechanical scattering by impenetrable periodic surfaces ⋮ Scattering by periodic surfaces

Cites Work

• Scattering theory for the d'Alembert equation in exterior domains
• Spectral analysis of the Laplacian in domains with cylinders
• Asymptotic energy propagation and scattering of waves in waveguides with cylinders
• A two Hilbert space scattering theorem
• Scattering theory with two Hilbert spaces
• A Sufficient Condition for an Integral Operator to Have a Trace.
• Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals
• The principle of limiting absorption
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