Scattering theory for conformally compact metrics with variable curvature at infinity

DOI10.1006/jfan.2001.3770zbMath1006.58019arXivmath/0010273OpenAlexW2072152167MaRDI QIDQ5945089

David Borthwick

Publication date: 18 February 2003

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

Full work available at URL: https://arxiv.org/abs/math/0010273

zbMATH Keywords

asymptoticsspectrumscattering theoryconformally compact

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05)

Related Items (7)

Scattering theory for the Laplacian on symmetric spaces of noncompact type and its application to a conjecture of Strichartz ⋮ Dimension of monopoles on asymptotically conic 3-manifolds: Figure 1. ⋮ Determinants of Laplacians and isopolar metrics on surfaces of infinite area. ⋮ Hodge theory on Cheeger spaces ⋮ A positive cosmological constant in string theory through AdS/CFT wormholes ⋮ On the spectral theory and dynamics of asymptotically hyperbolic manifolds ⋮ The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity

Cites Work

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• Elliptic theory of differential edge operators I
• An intrinsic characterisation of polyhomogeneous Lagrangian distributions
• Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds
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