Low energy resolvent estimates for acoustic propagators in perturbed stratified media

DOI10.1006/jdeq.1997.3325zbMath0893.35025OpenAlexW1970427859MaRDI QIDQ1377541

Mitsuteru Kadowaki

Publication date: 30 August 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3325

zbMATH Keywords

commutator method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Second-order elliptic equations (35J15)

Related Items

Analyticity properties and estimates of resolvent kernels near thresholds ⋮ Low and high energy resolvent estimates for wave propagation in stratified media and their applications.

Cites Work

• Resolvent estimates at low frequencies and limiting amplitude principle for acoustic propagators
• Sound propagation in stratified fluids
• Absence of singular continuous spectrum for certain self-adjoint operators
• Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids
• The limiting amplitude principle for the acoustic wave operators in two unbounded media
• Asymptotic completeness for acoustic propagators in perturbed stratified media
• Spectral analysis of strongly propagative systems.
• Spectral and scattering theory for wave propagation in perturbed stratified media

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