Geometric optics expansions for hyperbolic corner problems, selfinteraction phenomenon - Archive ouverte HAL Access content directly
Journal Articles Analysis & PDE Year : 2016

Geometric optics expansions for hyperbolic corner problems, selfinteraction phenomenon

Antoine Benoit

Abstract

In this article we are interested in the rigorous construction of geometric optics expansions for hyperbolic corner problems. More precisely we focus on the case where selfinteracting phases occur. Those phases are proper to the high frequency asymptotics for the corner problem and correspond to rays that can display a homothetic pattern after a suitable number of reflections on the boundary. To construct the geometric optics expansions in that framework, it is necessary to solve a new amplitude equation in view of initializing the resolution of the WKB cascade.
Fichier principal
Vignette du fichier
BKW_corner.pdf (1.08 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01196341 , version 1 (09-09-2015)

Identifiers

  • HAL Id : hal-01196341 , version 1

Cite

Antoine Benoit. Geometric optics expansions for hyperbolic corner problems, selfinteraction phenomenon. Analysis & PDE, 2016, 9 (6), pp.1359-1418. ⟨hal-01196341⟩
151 View
103 Download

Share

Gmail Facebook X LinkedIn More