Scattering theory for manifolds with asymptotically cylindrical ends

DOI10.1006/jfan.1995.1097zbMath0837.58034OpenAlexW2069250486MaRDI QIDQ1897283

Tanya Christiansen

Publication date: 13 May 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1097

zbMATH Keywords

scattering theoryPoisson summation formulamanifolds with asymptotically cylindrical ends

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

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Spectral determinants on Mandelstam diagrams ⋮ Mathematical scattering theory in quantum and acoustic waveguides ⋮ Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends ⋮ Inverse Problems for Obstacles in a Waveguide ⋮ SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS ⋮ Scattering at low energies on manifolds with cylindrical ends and stable systoles ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends ⋮ The wave group on asymptotically hyperbolic manifolds ⋮ Propagation estimates for dispersive wave equations: Application to the stratified wave equation ⋮ Scattering theory for perturbed stratified media ⋮ Sojourn times, manifolds with infinite cylindrical ends, and an inverse problem for planar waveguides ⋮ Spectral asymptotics for manifolds with cylindrical ends ⋮ A model form for exact 𝑏-metrics

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