Spectral analysis for optical fibres and stratifled fluids II: Absence of Eigenvalues

DOI10.1080/03605309208820835zbMath0850.35067OpenAlexW2034188067MaRDI QIDQ3989230

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Publication date: 28 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820835

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Variational methods for second-order elliptic equations (35J20)

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Analyticity properties and estimates of resolvent kernels near thresholds ⋮ An anelastic approximation arising in astrophysics ⋮ Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations. ⋮ Low energy resolvent bounds for elliptic operators: an application to the study of waves in stratified media and fiber optics ⋮ Mathematical models of incompressible fluids as singular limits of complete fluid systems ⋮ Scattering by a periodic tube in R3  : part i. The limiting absorption principle^* ⋮ FLOWS OF VISCOUS COMPRESSIBLE FLUIDS UNDER STRONG STRATIFICATION: INCOMPRESSIBLE LIMITS FOR LONG-RANGE POTENTIAL FORCES ⋮ Inverse scattering at fixed energy for layered media ⋮ Scattering theory for perturbed stratified media ⋮ Wave operators in a multistratified strip ⋮ Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle ⋮ Differential equations of quantum mechanics ⋮ Resolvent estimates and scattering states for dissipative systems.

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