Sur l'équation des ondes non linéaires avec exposant critique

P. Gérard

Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996)

  • page 1-12

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Gérard, P.. "Sur l'équation des ondes non linéaires avec exposant critique." Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996): 1-12. <http://eudml.org/doc/112129>.

@article{Gérard1995-1996,
author = {Gérard, P.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Sur l'équation des ondes non linéaires avec exposant critique},
url = {http://eudml.org/doc/112129},
year = {1995-1996},
}

TY - JOUR
AU - Gérard, P.
TI - Sur l'équation des ondes non linéaires avec exposant critique
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1995-1996
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - fre
UR - http://eudml.org/doc/112129
ER -

References

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  1. [BS] H. Bahouri, J. Shatah: Global estimate for the critical semilinear wave equation, en préparation. 
  2. [G1] P. Gérard: Oscillations and concentration effects in semilinear dispersive wave equations, à paraître à J. Funct. Analysis. Zbl0868.35075MR1414374
  3. [G2] P. Gérard: A microlocal version of concentration-compactness, in Partial Differential Equations and Mathematical Physics, 143-157, L. Hörmander and A. Melin editors, Birkhäuser, 1996. Zbl0868.35005MR1380988
  4. [GV1] J. Ginibre, G. Velo: The Global Cauchy Problem for the Non Linear Klein-Gordon Equation, Math. Z.189 (1985), 487-505. Zbl0549.35108MR786279
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  7. [GSV] J. Ginibre, H. Soffer, G. Velo: The Global Cauchy Problem for the Critical Non Linear Wave Equation, J. Funct. Anal.110 (1992), 96-130. Zbl0813.35054MR1190421
  8. [Gr] M. Grillakis: Regularity and asymptotic behavior of the wave equation with a critical nonlinearity, Ann. of Math., 132 (1990), 485-509. Zbl0736.35067MR1078267
  9. [M] C. Morawetz: Time decay for the nonlinear Klein-Gordon equation, Proc. Royal Soc. LondonA306 (1968), 291-296. Zbl0157.41502MR234136
  10. [MS] C. Morawetz, W. Strauss: Decay and scattering of solutions of a nonlinear relativistic wave equation, Comm. Pure Appl. Math., 25 (1972), 1-31. Zbl0228.35055MR303097
  11. [P] H. Pecher: Nonlinear small data scattering for the wave and Klein-Gordon Equations, Math. Z.185 (1984), 261-270. Zbl0538.35063MR731347
  12. [S] M. Struwe: Globally Regular Solutions to the u5 Klein Gordon Equation, Annali Scuola Norm. Pisa, 15 (1988), 495-513. Zbl0728.35072MR1015805
  13. [SS1] J. Shatah, M. Struwe: Regularity Results for Nonlinear Wave Equations, Ann. Math., 138 (1993), 503-518. Zbl0836.35096MR1247991
  14. [SS2] J. Shatah, M. Struwe: Well-Posedness in the Energy Space for Semilinear Wave Equations with Critical Growth, IMRN7 (1994), 303-309. Zbl0830.35086MR1283026

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