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Astérisque N° 351/2013 (Broché)

Diffraction of singularities for the wave equation on manifolds with corners

Edition en anglais

Richard Melrose, Andras Vasy, Jared Wunsch

  • Société Mathématique de France

  • Paru le : 01/05/2013
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We consider the fundamental solution to the wave equation on a manifold with corners of arbitrary codimension. If the initial pole of the solution is appropriately situated, we show that the singularities which are diffracted by the corners (i.e., loosely speaking, which are not propagated along limits of transversely reflected rays) are smoother than the main singularities of the solution. More generally, we show that subject to a hypothesis of nonfocusing, diffracted wavefronts of any solution to the wave equation are smoother than the incident singularities.
These results extend our previous work on edge manifolds to a situation where the fibers of the boundary fibration, obtained here by blowup of the corner in question, are themselves manifolds with corners.

Fiche technique

  • Date de parution : 01/05/2013
  • Editeur : Société Mathématique de France
  • ISBN : 978-2-85629-367-6
  • EAN : 9782856293676
  • Format : Grand Format
  • Présentation : Broché
  • Nb. de pages : 135 pages
  • Poids : 0.3 Kg
  • Dimensions : 17,5 cm × 24,0 cm × 1,0 cm
Richard Melrose et Andras Vasy - Astérisque N° 351/2013 : Diffraction of singularities for the wave equation on manifolds with corners.
Astérisque N° 351/2013 Diffraction of singularities for the...
Richard Melrose, ...
39,00 €
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