L’équation de Klein Gordon à données petites

Jean-Marc Delort[1]

  • [1] Jean Marc Delort, Département de Mathématiques, Institut Galilée, Université Paris Nord, Av Jean-Baptiste Clément, 93430 Villetaneuse cedex

Séminaire Équations aux dérivées partielles (1996-1997)

  • Volume: 1996-1997, page 1-13

How to cite

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Delort, Jean-Marc. "L’équation de Klein Gordon à données petites." Séminaire Équations aux dérivées partielles 1996-1997 (1996-1997): 1-13. <http://eudml.org/doc/10932>.

@article{Delort1996-1997,
affiliation = {Jean Marc Delort, Département de Mathématiques, Institut Galilée, Université Paris Nord, Av Jean-Baptiste Clément, 93430 Villetaneuse cedex},
author = {Delort, Jean-Marc},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {polynomial nonlinearities; small initial data; estimates from below; life span},
language = {eng},
pages = {1-13},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {L’équation de Klein Gordon à données petites},
url = {http://eudml.org/doc/10932},
volume = {1996-1997},
year = {1996-1997},
}

TY - JOUR
AU - Delort, Jean-Marc
TI - L’équation de Klein Gordon à données petites
JO - Séminaire Équations aux dérivées partielles
PY - 1996-1997
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1996-1997
SP - 1
EP - 13
LA - eng
KW - polynomial nonlinearities; small initial data; estimates from below; life span
UR - http://eudml.org/doc/10932
ER -

References

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  1. J. Bourgain : Fourier transforms restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, I, II Geom. Funct. Anal. 3, (1993) 107-156, 202-262. Zbl0787.35098MR1209299
  2. V. Georgiev et P. Popivanov : Global solutions to the two-dimensional Klein-Gordon equations, Commun. Part. Diff. Eqs. 16, (1991) 941–995. Zbl0741.35039MR1116850
  3. L. Hörmander : Non-linear Hyperbolic Differential Equations, Lectures Notes in Lund, preprint, (1986-87). 
  4. S. Klainerman : Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions, Comm. Pure Appl. Math. 38, (1985) 631-641. Zbl0597.35100MR803252
  5. S. Klainerman et M. Machedon : Smoothing estimates for null form and applications, 81 Duke Math. J. (1995) 99-133. Zbl0909.35094MR1381973
  6. R. Kosecki : The Unit Condition and Global Existence for a Class of Nonlinear Klein-Gordon Equations, Jour. Diff. Eq. 100, (1992) 257-268. Zbl0781.35062MR1194810
  7. K. Moriyama, S. Tonegawa et Y. Tsutsumi : Almost Global Existence of Solution for the Quadratic Semilinear Klein-Gordon Equation in One Space Dimension, preprint, (1996). Zbl0891.35142MR1482854
  8. T. Ozawa, K. Tsutaya et Y. Tsutsumi : Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic non-linearity in two space dimensions, Math. Z., 222, (1996) 341-362. Zbl0877.35030MR1400196
  9. J. Shatah : Normal forms and quadratic nonlinear Klein-Gordon equations, Comm. Pure Appl. Math. 38, (1985) 685-696. Zbl0597.35101MR803256
  10. J.C.H. Simon et E. Taflin : The Cauchy problem for nonlinear Klein-Gordon equations, Commun. Math. Phys. 152, (1993) 433-478. Zbl0783.35066MR1213298

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