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Une relation entre la propagation des singularites et la propagation du support pour des operateurs hyperboliques

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Propagation des Singularités des Solutions d’Equations Pseudo-Différentielles à Caractéristiques de Multiplicités Variables

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 856))

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References

  1. L. BOUTET de MONVEL: Hypoelliptic operators in the double characteristics and related pseudo-differential operators, Comm on Pure and Applied Math 27(1974).

    Google Scholar 

  2. J.J. DUISTERMAAT: On Carleman estimates for pseudo-differential operators Inventiones Math. 17 (1972), p. 31–43.

    Article  MathSciNet  MATH  Google Scholar 

  3. J.J. DUISTERMAAT et L. HÖRMANDER: Fourier Integral Operators II. Acta Math. 128 (1972), p. 183–269.

    Article  MathSciNet  MATH  Google Scholar 

  4. L. HÖRMANDER: Linear Partial Differential. Springer Verlag (1969).

    Google Scholar 

  5. L. HORMANDER: The Cauchy problem for differential equations with double characteristics. Journal Anal. Math (1977)

    Google Scholar 

  6. Ja. IVRII-V. PETKOV: Necessary conditions for the correction of the Cauchy problem for non strictly hyperbolic operators. Vsp. Math. Nauk No5 (1974).

    Google Scholar 

  7. Ja.IVRII: Wave front of solutions of some hyperbolic equations and conical refraction. Soviet. Math. Dokl (1976) T 226 No6.

    Google Scholar 

  8. Ja.IVRII: Wave front set of some hyperbolic pseudo differential operators. Soviet Math. Dokl (1976) T 229 No2.

    Google Scholar 

  9. R. LASCAR: Propagation des singularités des solutions d'équations pseudo différentielles quasi-homogènes. Anal. Inst. Fourier Grenoble T 27 Fas. 2 (1977).

    Google Scholar 

  10. R. LASCAR: Propagation des singularités pour des opérateurs pseudo-différentiels à multiplicité variable. A paraître.Note C.R.A.S. (1976) T 283.

    Google Scholar 

  11. R. LASCAR: Parametrices microlocales de problèmes aux limites pour une classe d'équations pseudo différentielles à caractéristiques de multiplicité variable. Séminaire Goulaouic-Schwartz 1978–1979 exp. IV.

    Google Scholar 

  12. J. LERAY: Hyperbolic differential operations. The Institute for advanced Study, Princeton (1953).

    Google Scholar 

  13. A. MARCHAUD: Sur les champs continus de demi-cônes convexes et leurs intégrales. Compositio. Math. (1936) No3 p.90–127.

    Google Scholar 

  14. J. SJOSTRAND: Propagation of singularities for operators with multiple involutive characteristics. Anal. Inst. Fourier, Grenoble T 26, Fas. 1, p. 141–155 (1976).

    Article  MathSciNet  MATH  Google Scholar 

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Authors
  1. Richard Lascar
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© 1981 Springer-Verlag

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Lascar, R. (1981). Une relation entre la propagation des singularites et la propagation du support pour des operateurs hyperboliques. In: Propagation des Singularités des Solutions d’Equations Pseudo-Différentielles à Caractéristiques de Multiplicités Variables. Lecture Notes in Mathematics, vol 856. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089187

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  • DOI: https://doi.org/10.1007/BFb0089187

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10702-6

  • Online ISBN: 978-3-540-38658-2

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