On spectral properties of the acoustic propagator in a layered band

DOI10.1006/jdeq.1996.3236zbMath0959.35039OpenAlexW1983669510MaRDI QIDQ1355839

Matania Ben-Artzi

Publication date: 26 April 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.3236

zbMATH Keywords

resolvent operatorlimiting absorption principlepoint spectrumwave velocity

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Scattering theory for PDEs (35P25) Second-order elliptic equations (35J15) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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Cites Work

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• Sound propagation in stratified fluids
• Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle
• Limiting amplitude principle for acoustic propagators in perturbed stratified fluids
• Resolvent estimates for a sum of tensor products with applications to the spectral theory of differential operators
• Spectral and scattering theory in perturbed stratified fluids
• Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium)
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Decay and regularity for the Schrödinger equation
• Resonance phenomena in cylindrical waveguides
• The limiting absorption principle for partial differential operators
• Resonance phenomena in infinite strings with periodic ends
• Spectral Analysis of a Multistratified Acoustic Strip Part II: Asymptotic Behavior of Solutions for a Simple Stratification
• Analyse Spectrale d’Une Bande Acoustique Multistratifiée I: Principe d’Absorption Limite pour une Stratification Simple
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations