Correction and supplements to “Scattering matrices and scattering geodesics of locally symmetric spaces”
Lizhen Ji, Maciej Zworski (2002)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Scattering matrices and scattering geodesics of locally symmetric spaces”
Correction and supplements to “Scattering matrices and scattering geodesics of locally symmetric spaces”
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The radiation field is a Fourier integral operator
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We show that the ``radiation field'' introduced by F.G. Friedlander, mapping Cauchy data for the wave equation to the rescaled asymptotic behavior of the wave, is a Fourier integral operator on any non-trapping asymptotically hyperbolic or asymptotically conic manifold. The underlying canonical relation is associated to a ``sojourn time'' or ``Busemann function'' for geodesics. As a consequence we obtain some information about the high frequency behavior of the...
Singularities of the scattering kernel for trapping obstacles
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Scattering matrix for asymptotically euclidean manifolds
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Scattering problems in a domain with small holes.
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In this paper, we consider a family of scattering problems in perforated unbounded domains Ω. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.