Low energy resolvent bounds for elliptic operators: an application to the study of waves in stratified media and fiber optics

DOI10.1080/03605309508821155zbMath0848.35087OpenAlexW2076607707MaRDI QIDQ4863714

David W. Pravica

Publication date: 24 October 1996

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

Full work available at URL: https://doi.org/10.1080/03605309508821155

zbMATH Keywords

local energy-decay estimatelow frequency estimate

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Unnamed Item
• Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• High energy decay estimates for waves in a locally perturbed medium
• Spectral analysis for optical fibres and stratifled fluids II: Absence of Eigenvalues
• Decay of solutions of the wave equation outside nontrapping obstacles

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