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”
Poisson relation for the scattering kernel and inverse scattering by obstacles
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Singularities of the scattering kernel for non convex obstacles
Vesselin M. Petkov, Luchezar N. Stoyanov (1987)
Journées équations aux dérivées partielles
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Reconstruction of Scattering Amplitudes From Differential Cross-Section
A. Martin (1974)
Recherche Coopérative sur Programme n°25
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The radiation field is a Fourier integral operator
Antônio Sá Barreto, Jared Wunsch (2005)
Annales de l’institut Fourier
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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
Vesselin Petkov, Latchezar Stoyanov (1996)
Annales scientifiques de l'École Normale Supérieure
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Scattering matrix for asymptotically euclidean manifolds
Richard Melrose, Maciej Zworski (1994)
Journées équations aux dérivées partielles
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Scattering problems in a domain with small holes.
V. Chiadò Piat, M. Codegone (2003)
RACSAM
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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.