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Vidéo Année : 2014

Andras Vasy - Quasilinear waves and trapping: Kerr­‐de Sitter space

Afficher 

Andras Vasy
  • Fonction : Orateur
Fanny Bastien

Résumé

In this talk I will describe recent work with Peter Hintz on globally solving quasilinear wave equations in the presence of trapped rays, on Kerr­‐de Sitter space, and obtaining the asymptotic behavior of solutions. For the associated linear problem without trapping, one would consider a global, non­elliptic, Fredholm framework; in the presence of trapping the same framework is available for spaces of growing functions only. In order to solve the quasilinear problem we thus combine these frameworks with the normally hyperbolic trapping results of Dyatlov and a Nash­‐Moser iteration scheme.

Dates et versions

medihal-01318558 , version 1 (19-05-2016)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : medihal-01318558 , version 1

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Andras Vasy, Fanny Bastien. Andras Vasy - Quasilinear waves and trapping: Kerr­‐de Sitter space : Summer School 2014 - Asymptotic analysis in general relativity. 2014. ⟨medihal-01318558⟩
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