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Propagation des Singularités Gevrey pour le Problème de Dirichlet

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Advances in Microlocal Analysis

Part of the book series: NATO ASI Series ((ASIC,volume 168))

Abstract

Depuis les travaux de Friedlander — Melrose, Melrose-Sjöstrand [4], Sjöstrand [7], on sait que la propagation des singularités pour les problèmes aux limites, prèes des points “glancing” du bord, est différente suivant qu’on s’intéresse au point de vue C∞ ou analytique. Cet article est consacré à l’étude de la propagation des singularités Gevrey Gσ : en utilisant les techniques élaborées par J. Sjöstrand, on y montre que le comportement des singularités Gevrey Gσ est identique au comportement C∞, [resp. analytique] pour σ ≥ 3 [resp. 1 ≤ s < 3].

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Bibliographie

  1. F.G. FRIEDLANDER, R.B. MELROSE — The wave front set of the, solution of a simple initial-boundary value problem with glancing rays II, Math. Proc. Camb. Phil. Soc. (81), 1977.

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Author information

Authors and Affiliations

  1. C.M.A. — Ecole Normale Supérieure, 45 rue d’Ulm, 750230, Paris Cedex 05, France

    G. Lebeau

Authors
  1. G. Lebeau
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Editor information

Editors and Affiliations

  1. Inst. de Math., University of Liège, 15, avenue des Tilleuls, B-4000, Liège, Belgium

    H. G. Garnir

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© 1986 D. Reidel Publishing Company

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Lebeau, G. (1986). Propagation des Singularités Gevrey pour le Problème de Dirichlet. In: Garnir, H.G. (eds) Advances in Microlocal Analysis. NATO ASI Series, vol 168. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4606-4_8

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  • DOI: https://doi.org/10.1007/978-94-009-4606-4_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8546-5

  • Online ISBN: 978-94-009-4606-4

  • eBook Packages: Springer Book Archive

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