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Partial Differential Equations and Mathematical Physics

In Memory of Jean Leray

  • Book
  • © 2003

Overview

Editors:
  1. Kunihiko Kajitani

    1. Institute of Mathematics, University of Tsukuba, Ibaraki, 305, Japan

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    You can also search for this editor in PubMed   Google Scholar

  2. Jean Vaillant

    1. MATHS-Université Paris VI, Paris Cedex 05, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 52)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xi
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  2. Differential Forms, Cycles and Hodge Theory on Complex Analytic Spaces

    • Vincenzo Ancona, Bernard Gaveau
    Pages 1-11

  3. On Exact Solutions of Linear PDEs

    • Richard Beals
    Pages 13-29

  4. Necessary Conditions for Hyperbolic Systems

    • Antonio Bove, Tatsuo Nishitani
    Pages 31-49

  5. Monodromy of the Ramified Cauchy Problem

    • Renaud Camales, Claude Wagschal
    Pages 51-56

  6. Nonlinear Stability of an Expanding Universe with the S 1 Isometry Group

    • Yvonne Choquet-Bruhat, Vincent Moncrief
    Pages 57-71

  7. On the Cauchy Problem for a Weakly Hyperbolic Operator: An Intermediate Case Between Effective Hyperbolicity and Levi Condition

    • Ferruccio Colombini, Mariagrazia Di Flaviano, Tatsuo Nishitani
    Pages 73-83

  8. Symplectic Path Intersections and the Leray Index

    • Maurice de Gosson, Serge de Gosson
    Pages 85-96

  9. A Global Cauchy—Kowalewski Theorem in Some Gevrey Classes

    • Daniel Gourdin, Mustapha Mechab
    Pages 97-104

  10. Sub-Riemannian Geometry and Subelliptic PDEs

    • Peter C. Greiner
    Pages 105-110

  11. On the Analytic Continuation of the Solution of the Cauchy Problem

    • Yûsaku Hamada
    Pages 111-119

  12. Strong Gevrey Solvability for a System of Linear Partial Differential Equations

    • Kunihiko Kajitani, Sergio Spagnolo
    Pages 121-141

  13. Spherically Symmetric Solutions of the Compressible Euler Equation

    • Kiyoshi Mizohata
    Pages 143-150

  14. Hyperbolic Cauchy Problem Well Posed in the Class of Gevrey

    • Yujiro Ohya
    Pages 151-156

  15. Absence of Eigenvalues of Dirac Type Operators

    • Takashi Ōkaji
    Pages 157-176

  16. The Behaviors of Singular Solutions of Partial Differential Equations in Some Class in the Complex Domain

    • Sunao Ōuchi
    Pages 177-194

  17. Systèmes Uniformément Diagonalisables, Dimension Réduite et Symétrie II

    • Jean Vaillant
    Pages 195-223

  18. On Hypoellipticity of the Operator \( \exp \left[ { - {{\left| {{x_1}} \right|}^{ - \sigma }}} \right]D_1^2 + x_1^4D_2^2 + 1\)

    • Seiichiro Wakabayashi, Nobuo Nakazawa
    Pages 225-238

  19. Back Matter

    Pages 239-243
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Keywords

Editors and Affiliations

  • Institute of Mathematics, University of Tsukuba, Ibaraki, 305, Japan

    Kunihiko Kajitani

  • MATHS-Université Paris VI, Paris Cedex 05, France

    Jean Vaillant

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