Solutions globales des systèmes de Dirac-Klein-Gordon

Alain Bachelot

Journées équations aux dérivées partielles (1987)

  • page 1-10
  • ISSN: 0752-0360

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Bachelot, Alain. "Solutions globales des systèmes de Dirac-Klein-Gordon." Journées équations aux dérivées partielles (1987): 1-10. <http://eudml.org/doc/93149>.

@article{Bachelot1987,
author = {Bachelot, Alain},
journal = {Journées équations aux dérivées partielles},
keywords = {Dirac system; Cauchy problem; well posed; Lorentz-invariance; pseudoscalar Yukawa model; nuclear forces; Sobolev spaces; scattering operator},
language = {fre},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {Solutions globales des systèmes de Dirac-Klein-Gordon},
url = {http://eudml.org/doc/93149},
year = {1987},
}

TY - JOUR
AU - Bachelot, Alain
TI - Solutions globales des systèmes de Dirac-Klein-Gordon
JO - Journées équations aux dérivées partielles
PY - 1987
PB - Ecole polytechnique
SP - 1
EP - 10
LA - fre
KW - Dirac system; Cauchy problem; well posed; Lorentz-invariance; pseudoscalar Yukawa model; nuclear forces; Sobolev spaces; scattering operator
UR - http://eudml.org/doc/93149
ER -

References

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  1. [1] A. BACHELOT, V. PETKOV, Existence de l'opérateur de diffusion pour l'équation des ondes avec un potentiel périodique en temps, C.R. Acad. Sci. Paris, t. 303, série I, n° 14, 1986 p. 671-673. Zbl0611.35067MR87k:35195
  2. [2] Y. CHOQUET-BRUHAT, Solutions globales des équations de Maxwell-Dirac-Klein-Gordon (masses nulles), C.R. Acad. Sci. Paris, t. 292, 1981, p. 153-158. Zbl0498.35053MR82f:81037
  3. [3] Y. CHOQUET-BRUHAT, D. CHRISTODOULOU, Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in 3+1 dimensions, Ann. Scient. Ec. Norm. Sup. 4e séri t. 14, 1981, p. 481-500. Zbl0499.35076MR84c:81041
  4. [4] D. CHRISTODOULOU, Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure and Appl. Math. vol. 34, 1986, p.267-282. Zbl0612.35090MR87c:35111
  5. [5] B. HANOUZET, J.L. JOLY, Applications bilinéaires compatibles sur certains sous-espaces de type Sobolev, C.R. Acad. Sc. Paris, t. 294, 1982, p. 745-747 et Applications bilinéaires compatibles avec un système hyperbolique, C.R. Acad. Sc. Paris, t. 301, n° 10, 1985, p. 491-494 et article à paraître in Ann. Inst. Henri Poincaré — Analyse non linéaire. Zbl0601.35066MR83h:46050
  6. [6] B. HANOUZET, J.L. JOLY, Explosion pour des problèmes hyperboliques semilinéaires avec second membre non compatible, C.R. Acad. Sc. Paris, t.301, n° 11, 1985, p. 581-584 et Publications d'Analyse Appliquée de l'Université de Bordeaux I, n° 8518. Zbl0601.35073MR87c:35016
  7. [7] A. INOUE, Wave and scattering operators for an evolving system d/dt -iA(t), J. Math. Soc. Japan, 26, n° 4, 1974, p. 608-624. Zbl0285.35062MR50 #10571
  8. [8] S. KLAINERMAN, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure and Appl. Math. 38, 1985, p. 321-332. Zbl0635.35059MR86i:35091
  9. [9] S. KLAINERMAN, Global existence of small amplitude solutions to nonlinear Klein Gordon equations in four space-time dimensions, Comm. Pure and Appl. Math. 38, 1985, p. 631-641. Zbl0597.35100MR87e:35080
  10. [10] S. KLAINERMAN, Proceedings of the International Congress of Mathematicians, Warszawa 1983 et The null condition and global existence to nonlinear wave equations, Lectures in Appl. Math. vol. 23, 1986, p. 293-326. Zbl0599.35105MR87h:35217

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