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1983
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Boundary conditions (Differential equations) Limites, Problèmes aux Conditions aux limites (équations différentielles)Citer ce document
Paul Léonard et al., « Sur la diffraction dans les problèmes aux limites », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1983.57384
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In the analytic case, any ray through a diffiractive point coincides with either the space-bicharacteristic or the boundary-bicharacteristic through itself. In the Cœ situation, this property does not hold, we give examples of diffractive points as limits of reflective or diffractive points. In [4], R. B. Melrose and J. Sjöstrand consider propagation of Cœ singulari- ties. We prove our results by extending their study of sequences of reflections and applying [3] and chapter X in [6]. To construct an example of a converging sequence of reflections, we follow an idea of M. E. Taylor [5], fitting a C«, convex boundary to an infinite convex polygon representing the projection of the ray in IR2.