Scattering and inverse scattering on ACH manifolds

DOI10.1515/CRELLE.2008.064zbMath1159.58016arXivmath/0605538OpenAlexW2070853208MaRDI QIDQ3524837

Antônio Sá Barreto, Colin Guillarmou

Publication date: 15 September 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605538

zbMATH Keywords

scatteringhyperbolic manifoldscattering matrixscattering operatorinverse scatteringHeisenberg calculus

Mathematics Subject Classification ID

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

Related Items

The fractional CR curvature equation on the three-dimensional CR sphere ⋮ Nonnegativity of the CR Paneitz operator for embeddable CR manifolds ⋮ Equipartition of energy in geometric scattering theory ⋮ Asymptotics of ACH-Einstein metrics ⋮ Inverse scattering with disjoint source and observation sets on asymptotically hyperbolic manifolds ⋮ An extension problem for the CR fractional Laplacian ⋮ A nonlinear Liouville theorem for fractional equations in the Heisenberg group ⋮ On the scattering operators for ACHE metrics of Bergman type on strictly pseudoconvex domains ⋮ Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces ⋮ A local support theorem for the radiation fields on asymptotically Euclidean manifolds ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends ⋮ GJMS operators, \(Q\)-curvature, and obstruction tensor of partially integrable CR manifolds ⋮ Approximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifolds ⋮ Radiation fields for semilinear wave equations

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