Analyticité des solutions des équations de Vlassov-Poisson

Said Benachour

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1989)

  • Volume: 16, Issue: 1, page 83-104
  • ISSN: 0391-173X

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Benachour, Said. "Analyticité des solutions des équations de Vlassov-Poisson." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 16.1 (1989): 83-104. <http://eudml.org/doc/84050>.

@article{Benachour1989,
author = {Benachour, Said},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {analyticity; Vlasov-Poisson equations},
language = {fre},
number = {1},
pages = {83-104},
publisher = {Scuola normale superiore},
title = {Analyticité des solutions des équations de Vlassov-Poisson},
url = {http://eudml.org/doc/84050},
volume = {16},
year = {1989},
}

TY - JOUR
AU - Benachour, Said
TI - Analyticité des solutions des équations de Vlassov-Poisson
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1989
PB - Scuola normale superiore
VL - 16
IS - 1
SP - 83
EP - 104
LA - fre
KW - analyticity; Vlasov-Poisson equations
UR - http://eudml.org/doc/84050
ER -

References

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  1. [1] A.A. Arsenev, Global existence of a weak solution of Vlassov's system of equations, Zh. Vychisl. Mat. i Mat Fiz.15 (1975), 136-147. MR371322
  2. [2] C. Bardos - S. Benachour - M. Zerner, Analyticité des solutions périodiques des équations d'Euler en dimension deux d'espace, C.R. Ac. Sc. Paris, 282 (1976), 995-998. Zbl0329.35012MR410094
  3. [3] C. Bardos - P. Degond, Global existence for the Vlassov-Poisson equation in 3-space variables with small initial dataAnn. Inst. H. Poincaré (Analyse non linéaire)2, 2 (1985), 101-118. Zbl0593.35076MR794002
  4. [4] J. Batt, Global symmetric solution of the initial value problem of stellar dynamics, J. Differential Equations, 25 (1977), 342-364. Zbl0366.35020MR487082
  5. [5] S. Benachour, Analyticité des solutions des équations d'Euler, Arch. Rational Mech. Anal., 71 (1979), 271-299. Zbl0421.35073MR531063
  6. [6] R. Courant - D. Hilbert, Methods of mathematical physics, Interscience (1962). 
  7. [7] T. Kato, On the classical solution of the two dimensional non-stationary Euler equation, Arch. Rational Mech. Anal, 25 (1967), 188-200. Zbl0166.45302MR211057
  8. [8] P. Degond, Rapport interne, Centre de Mathématiques appliqueés, Ecole Polytechnique, Paris. 
  9. [9] S. Klainerman, Long time behaviour of the solution of non-linear equations, Arch. Rational Mech. Anal., 78 (1982), 73-98. Zbl0502.35015MR654553
  10. [10] S. Klainerman - G. Ponce, Global, small amplitude solutions to nonlinear evolution equations, Comm. Pure and Appl. Math., 36 (1983), 133-141. Zbl0509.35009MR680085
  11. [11] L. Niremberg, An abstract form of the non-linear Cauchy-Kowalewska theorem, J. Differential Geom., 6 (1972), 561-576. Zbl0257.35001
  12. [12] F. Trèves, An abstract nonlinear Cauchy-Kowalewska theorem, Trans. Amer. Math. Soc., 150 (1970), 77-92. Zbl0199.15803MR274911
  13. [13] L.V. Ovsjannikov, A nonlinear Cauchy problem in a scale of Banach spaces, Dokl. Akad. Baube. SSSR, 4 (1971) et Soviet Math., 12 (1971), 1497-1502. Zbl0234.35018MR285941
  14. [14] S. Ukai - T. Okabé, On classical solution in the large in time of two-dimensional Vlassov's equation, Osaka J. Math., 15 (1978), 245-261. Zbl0405.35002MR504289
  15. [15] S. Wollmann, The Spherically Symmetric Vlassov-Poisson System, J. Differential Equations, 35 (1980), 30-35. Zbl0402.76089
  16. [16] L. Hörmander, Complex Analysis of Several Variables, (D. Van Nostrand). Zbl0138.06203

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