Optique non linéaire et ondes sur critiques
Lebeau, Gilles1
1 Centre de Mathématiques, École Polytechnique, U.M.R. 7640 du C.N.R.S., F - 91128 Palaiseau cedex
Séminaire Goulaouic-Schwartz (1999-2000), Talk no. 4, 11 p.

Lebeau, Gilles 1

1 Centre de Mathématiques, École Polytechnique, U.M.R. 7640 du C.N.R.S., F - 91128 Palaiseau cedex 
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     author = {Lebeau, Gilles},
     title = {Optique non lin\'eaire et ondes sur critiques},
     journal = {S\'eminaire Goulaouic-Schwartz},
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     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1999-2000},
     zbl = {1069.35512},
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     url = {https://www.numdam.org/item/SEDP_1999-2000____A4_0/}
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Lebeau, Gilles. Optique non linéaire et ondes sur critiques. Séminaire Goulaouic-Schwartz (1999-2000), Talk no. 4, 11 p.. https://www.numdam.org/item/SEDP_1999-2000____A4_0/

[1] H. Bahouri, P. Gérard, High frequency approximation of solutions to critical nonlinear wave equations AJM, vol. 121 (1999), p.131-175. | Zbl | MR

[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. | Zbl | MR | Numdam

[3] P. Brenner, P. Kumlin, On wave equations with supercritical non linearities Arch. Math., vol. 74 (2000) p.129-146. | Zbl | MR

[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. | Zbl | MR

[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. | Zbl | MR

[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. | Zbl | MR

[9] G.B. Whitham, Linear and nonlinear waves Wiley-Intersciences series of texts, monographs and tracts John-Wiley and sons, 1993. | Zbl | MR