Geodesic
Diffraction from conormal singularities
[Diffraction par singularités conormales]
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 48 (2015) no. 2, pp. 351-408.

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In this paper we show that for metrics with conormal singularities that correspond to class C1,α, α>0, the reflected wave is more regular than the incident wave in a Sobolev sense. This is helpful in the analysis of the multiple scattering series since higher order terms can be effectively `peeled off'.

Dans cet article nous montrons que, pour une métrique avec des singularités conormales qui correspondent à la classe C1,α, α>0, l'onde réfléchie est plus régulière que l'onde incidente dans un sens Sobolev. Cela s'avère utile à l'analyse des séries de diffusion multiple, les termes d'ordres les plus élevés pouvant être ôtés de manière effective.

Publié le :
DOI : 10.24033/asens.2247
Classification : 35A21, 35L05.
Keywords: Wave equation, conormal singularities, diffraction, reflection, paired Lagrangian distributions.
Mots-clés : Équation d'onde, singularités conormales, diffraction, réflexion, distributions aux intersections lagrangiennes. 
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     title = {Diffraction from conormal singularities},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {351--408},
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de Hoop, Maarten; Uhlmann, Gunther; Vasy, András. Diffraction from conormal singularities. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 48 (2015) no. 2, pp. 351-408. doi : 10.24033/asens.2247. http://geodesic.mathdoc.fr/articles/10.24033/asens.2247/

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