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Global solution of the system of wave and Klein-Gordon equations

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References

  1. Bachelot, A.: Solutions globales pour les systèmes de Dirac-Klein-Gordon. Publications de l’Université de Bordeaux I. no. 8705 (1987)

  2. Bachelot, A.: Problème de Cauchy global pour des systèmes de Dirac-Klein-Gordon. Ann. Inst. Henri Poincaré48, 387–422 (1988)

    MATH  MathSciNet  Google Scholar 

  3. Bachelot, A.: Formes quadratiquesA-compatibles dans les espaces de typeL p. Publications de l’Université de Bordeaux I. no. 8406 (1984)

  4. Hanouzet, B., Joly, J.: Bilinear maps compatible with a system. Res. Notes Math.89, 208–217 (1983)

    Google Scholar 

  5. Helgason, S.: Groups and geometric analysis. New York: Academic Press 1984

    MATH  Google Scholar 

  6. Hörmander, L.: Remarks on the Klein-Gordon equation. Journées “Equations aux dérivées partielles”, Saint-Jean-de-Monts.1, 1–9 (1987)

    Google Scholar 

  7. Hörmander, L.: On global existence of solutions of non-linear hyperbolic equations in ℝ1+3. Institute Mittag-Leffler report no. 9 (1985)

  8. Klainerman, S.: Uniform decay estimates and the Lorentz invariance of the classical wave equation, Commun. Pure Appl. Math.38, 321–332 (1985)

    MATH  MathSciNet  Google Scholar 

  9. Klainerman, S.: Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space dimensions. Commun. Pure Appl. Math.38, 631–641 (1985)

    MATH  MathSciNet  Google Scholar 

  10. Klainerman, S.: The null condition and global existence to nonlinear wave equation. Lect. Appl. Math.23, 293–326 (1986)

    MathSciNet  Google Scholar 

  11. Shibata, Y., Tsutsumi, Y.: On global existence theorem of small amplitude solutions for nonlinear wave equations in exterior domains. Math. Z.191, 165–199 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  12. Wahl, W. von:L p decay rates for homogeneous wave equations. Math. Z.120, 93–106 (1971)

    Article  MATH  MathSciNet  Google Scholar 

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Georgiev, V. Global solution of the system of wave and Klein-Gordon equations. Math Z 203, 683–698 (1990). https://doi.org/10.1007/BF02570764

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