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Levi condition for general systems

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Physics on Manifolds

Part of the book series: Mathematical Physics Studies ((MPST,volume 15))

Résumé

On donnera la condition nécessaire et suffisante sur un système dopérateurs aux dérivées partielles pour gue le problème de Cauchy pour ce système soitbien posé dans la classe Cla condition de Levi —.

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References

  1. E.Artin, Geometric algebra,Chap. 4, Interscience Publishers (1957).

    Google Scholar 

  2. K.Kajitani, On the E-well posed evolution equations, Comm. P.D.E. 4 (6) (1979), 595–608.

    Article  MathSciNet  MATH  Google Scholar 

  3. H.Kumano-go, Pseudo-differential operators,Chap. 10, The MIT Press (1981).

    Google Scholar 

  4. W.Matsumoto, On the conditions for the hyperbolicity of systems with double characteristics, I, 3.3°, J. Math. Kyoto Univ. 21 (1) (1981), 47–84.

    MathSciNet  MATH  Google Scholar 

  5. Normal form of systems of partial and pseudo differential operators in formal symbol classes, (to appear in J. Math. Kyoto Univ).

    Google Scholar 

  6. W.Matsumoto and H.Yamahara, On the Cauchy-Kowalevskaya theorem for systems, Proc. Japan Acad. 67, Ser.A, (6) (1991), 181–185.

    Article  MathSciNet  MATH  Google Scholar 

  7. S.Mizohata, Some remarks on the Cauchy problem, J. Math. Kyoto Univ. 1 (1) (1961), 109–127.

    MathSciNet  MATH  Google Scholar 

  8. On evolution equations with finite propagation speed, Israel J. Math. 13 (1972), 173–187.

    Article  MathSciNet  Google Scholar 

  9. M.Sato and M.Kashiwara, The determinant of matrices of pseudo-differential operators, Proc. Japan Acad. 51 Ser.A (1975), 17–19.

    Article  MathSciNet  MATH  Google Scholar 

  10. J.Vaillant, Conditions d’hyperbolicité des systèmes d’opérateurs aux dérivées partielles, Bulletin Sci. Math. 114 (3) (1990), 243–328.

    MathSciNet  MATH  Google Scholar 

  11. J.Vaillant, Opérateurs de multiplicité constante, (to appear).

    Google Scholar 

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© 1994 Springer Science+Business Media Dordrecht

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Matsumoto, W. (1994). Levi condition for general systems. In: Flato, M., Kerner, R., Lichnerowicz, A. (eds) Physics on Manifolds. Mathematical Physics Studies, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1938-2_22

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  • DOI: https://doi.org/10.1007/978-94-011-1938-2_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4857-6

  • Online ISBN: 978-94-011-1938-2

  • eBook Packages: Springer Book Archive

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