Optique non linéaire et ondes sur critiques

Gilles Lebeau[1]

  • [1] Centre de Mathématiques, École Polytechnique, U.M.R. 7640 du C.N.R.S., F - 91128 Palaiseau cedex

Séminaire Équations aux dérivées partielles (1999-2000)

  • Volume: 1999-2000, page 1-11

How to cite

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Lebeau, Gilles. "Optique non linéaire et ondes sur critiques." Séminaire Équations aux dérivées partielles 1999-2000 (1999-2000): 1-11. <http://eudml.org/doc/11001>.

@article{Lebeau1999-2000,
affiliation = {Centre de Mathématiques, École Polytechnique, U.M.R. 7640 du C.N.R.S., F - 91128 Palaiseau cedex},
author = {Lebeau, Gilles},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {instability; radially symmetric solutions; supercritical semilinear wave equations; three space variables},
language = {fre},
pages = {1-11},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Optique non linéaire et ondes sur critiques},
url = {http://eudml.org/doc/11001},
volume = {1999-2000},
year = {1999-2000},
}

TY - JOUR
AU - Lebeau, Gilles
TI - Optique non linéaire et ondes sur critiques
JO - Séminaire Équations aux dérivées partielles
PY - 1999-2000
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1999-2000
SP - 1
EP - 11
LA - fre
KW - instability; radially symmetric solutions; supercritical semilinear wave equations; three space variables
UR - http://eudml.org/doc/11001
ER -

References

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  1. H. Bahouri, P. Gérard, High frequency approximation of solutions to critical nonlinear wave equations AJM, vol. 121 (1999), p.131-175. Zbl0919.35089MR1705001
  2. H. Bahouri, J. Shatah, Decay estimate for the critical semi-linear wave equation Annales IHP, Analyse non linéaire, vol. 15 (1998) p.783-789. Zbl0924.35084MR1650958
  3. P. Brenner, P. Kumlin, On wave equations with supercritical non linearities Arch. Math., vol. 74 (2000) p.129-146. Zbl0971.35051MR1735230
  4. I.Gallagher, Profil decomposition for solutions of the Navier-Stokes equations preprint Université Paris-Sud 2000-48 p1,30. 
  5. M. Grillakis, Regularity for the wave equation with a critical non linearity CPAM 45 (1992) p.749-774. Zbl0785.35065MR1162370
  6. H.P. Mac-Kean, P. van Moerbeke, The spectrum of Hill’s equation Inventiones math, vol.30 (1975) p.217-274. 
  7. J.C. Luke A perturbation method for non linear dispersive wave problems Proc. Roy. Soc. A, vol. 292 (1966) p.403-412. Zbl0143.13603MR195289
  8. J. Shatah, M. Struwe, Well posedness in the energy space for semilinear wave equations with critical growth IMRN, 1994 n ∘ 7, p.303-309. Zbl0830.35086MR1283026
  9. G.B. Whitham, Linear and nonlinear waves Wiley-Intersciences series of texts, monographs and tracts John-Wiley and sons, 1993. Zbl0373.76001MR1699025

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