Radiation condition and limiting amplitude principle for acoustic propagators with two unbounded media

DOI10.1017/S0308210500027220zbMath0897.35044MaRDI QIDQ4380631

Bo Zhang

Publication date: 19 October 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

limiting absorption principle

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (3)

Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations. ⋮ High frequency limit of the Helmholtz equations. ⋮ Morrey-Campanato estimates for Helmholtz equations

Cites Work

• Resolvent estimates at low frequencies and limiting amplitude principle for acoustic propagators
• Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle
• A remark on the limiting absorption principle for the reduced wave equation with two unbounded media
• 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)
• The limiting absorption and amplitude principles for the diffraction problem with two unbounded media
• Spectral and scattering theory in perturbed stratified fluids. II. Transmission problems and exterior domains
• Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids
• On Sommerfeld radiation conditions for the diffraction problem with two unbounded media
• The limiting-amplitude principle for the wave propagation problem with two unbounded media
• On transmission problems for wave propagation in two locally perturbed half-spaces
• THE PRINCIPLE OF LIMIT AMPLITUDE

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