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The limiting absorption principle at thresholds

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Publication:1087430
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zbMath0611.76090MaRDI QIDQ1087430

Ricardo Weder

Publication date: 1988

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)


zbMATH Keywords

thresholdscontinuous spectrumspectral theorylimiting absorption principlegeneralized eigenfunctionspositive eigenvaluesacoustic propagatorcut off frequenciesdeformed acoustical wave guidesdeformed stratified mediaperfect wave guide


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Reaction effects in flows (76V05)


Related Items (6)

Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations. ⋮ Limiting amplitude principle for acoustic propagators in perturbed stratified fluids ⋮ Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids ⋮ Invertibility of Helmholtz operators for nonhomogeneous medias ⋮ Asymptotic completeness for acoustic propagators in perturbed stratified media ⋮ Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle




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