Scattering theory for Riemannian Laplacians

DOI10.1016/j.jfa.2013.02.002zbMath1269.58013arXiv1109.1925OpenAlexW2046826939MaRDI QIDQ1948127

Erik Skibsted, Kenichi Ito

Publication date: 30 April 2013

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

Full work available at URL: https://arxiv.org/abs/1109.1925

zbMATH Keywords

continuous spectrumSchrödinger operatorsRiemannian manifoldspectral theoryLaplace-Beltrami operatorscattering theorywave operatorangular submanifold at infinitymanifold with pole

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25)

Related Items (12)

Scattering theory for the Laplacian on symmetric spaces of noncompact type and its application to a conjecture of Strichartz ⋮ Growth of the eigensolutions of Laplacians on Riemannian manifolds. II: Positivity of the initial energy ⋮ Time-dependent scattering theory on manifolds ⋮ Global solutions to the eikonal equation ⋮ Absence of embedded eigenvalues for Riemannian Laplacians ⋮ Absence of positive eigenvalues for hard-core \(N\)-body systems ⋮ Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case ⋮ On open scattering channels for manifolds with ends ⋮ Radiation condition bounds on manifolds with ends ⋮ Stationary scattering theory on manifolds ⋮ Scattering theory for the Hodge Laplacian ⋮ A geometric approach to the Landauer-Büttiker formula

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