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Advances in Microlocal Analysis

  • Book
  • © 1986

Overview

Editors:
  1. H. G. Garnir

    1. Inst. de Math., University of Liège, Liège, Belgium

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Part of the book series: Nato Science Series C: (ASIC, volume 168)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Convergence of Formal Solutions of Singular Partial Differential Equations

    • Gunter Bengel
    Pages 1-14

  3. Singularites des Solutions de Problemes de Cauchy Hyperboliques Non Lineaires

    • J.-M. Bony
    Pages 15-39

  4. Fourier Integral Operators of Infinite Order on Gevrey Spaces. Applications to the Cauchy Problem for Hyperbolic Operators

    • L. Cattabriga, L. Zanghirati
    Pages 41-71

  5. Singularities, Supports and Lacunas

    • G. F. D. Duff
    Pages 73-133

  6. On the Wave Equation in Plane Regions with Polygonal Boundary

    • F. G. Friedlander
    Pages 135-150

  7. The Necessity of the Irregularity Condition for Solvability in Gevrey Classes (s) and {s}

    • Hikosaburo Komatsu
    Pages 151-164

  8. Asymptotic Solutions of Hyperbolic Boundary Value Problems with Diffraction

    • Pascal Laubin
    Pages 165-202

  9. Propagation des Singularités Gevrey pour le Problème de Dirichlet

    • G. Lebeau
    Pages 203-223

  10. Conormal rings and semilinear wave equations

    • R. B. Melrose
    Pages 225-251

  11. General Boundary Value Problems in the Framework of Hyperfunctions

    • Toshinori Ôaku
    Pages 253-270

  12. Study of Sheaves of Solutions of Microdifferential Systems

    • Pierre Schapira
    Pages 271-289

  13. Effet tunnel pour l’opérateur de Schrödinger semi-classique

    • B. Helffer, J. Sjöstrand
    Pages 291-322

  14. Propagation of Singularities for Hamilton-Jacobi Equation

    • Mikio Tsuji
    Pages 323-331

  15. Ramifications of Holomorphic Integrals

    • J. Vaillant
    Pages 333-361

  16. Generalized Flows and Their Applications

    • Seiichiro Wakabayashi
    Pages 363-384

  17. Back Matter

    Pages 385-390
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Keywords

About this book

The 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized : "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri­ butions which led recently to the birth of a new branch of Mathema­ tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities.

Editors and Affiliations

  • Inst. de Math., University of Liège, Liège, Belgium

    H. G. Garnir

Bibliographic Information

  • Book Title: Advances in Microlocal Analysis

  • Editors: H. G. Garnir

  • Series Title: Nato Science Series C:

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

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1986

  • Hardcover ISBN: 978-90-277-2195-2Published: 28 February 1986

  • Softcover ISBN: 978-94-010-8546-5Published: 03 November 2011

  • eBook ISBN: 978-94-009-4606-4Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XVII, 390

  • Topics: Analysis

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