Low and high energy resolvent estimates for wave propagation in stratified media and their applications.

DOI10.1006/jdeq.2001.4033zbMath1109.35367OpenAlexW2078770202MaRDI QIDQ1598378

Mitsuteru Kadowaki

Publication date: 22 May 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4033

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Wave equation (35L05)

Related Items

Smooth Spectral Calculus ⋮ Divergence-type Operators: Spectral Theory and Spacetime Estimates ⋮ EIGENFUNCTION EXPANSIONS AND SPACETIME ESTIMATES FOR GENERATORS IN DIVERGENCE-FORM ⋮ Resolvent estimates and scattering states for dissipative systems.

Cites Work

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• Absence of singular continuous spectrum for certain self-adjoint operators
• Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids
• Scattering theory for dissipative hyperbolic systems
• Scattering theory for wave equations with dissipative terms
• Low energy resolvent estimates for acoustic propagators in perturbed stratified media
• Wave operators and similarity for some non-selfadjoint operators
• Energy decay and asymptotic behavior of solutions to the wave equations with linear dissipation
• Asymptotic completeness for acoustic propagators in perturbed stratified media
• Spectral analysis of strongly propagative systems.
• Analyticity properties and estimates of resolvent kernels near thresholds
• Commutator estimates, Besov spaces and scattering problems for the acoustic wave propagation in perturbed stratified fluids
• THE PRINCIPLE OF LIMIT AMPLITUDE
• Spectral and scattering theory for wave propagation in perturbed stratified media

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