Injections de Sobolev critiques, mesures microlocales et ondes non linéaires

P. Gérard

Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995)

  • page 1-11

How to cite


Gérard, P.. "Injections de Sobolev critiques, mesures microlocales et ondes non linéaires." Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995): 1-11. <>.

author = {Gérard, P.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Injections de Sobolev critiques, mesures microlocales et ondes non linéaires},
url = {},
year = {1994-1995},

AU - Gérard, P.
TI - Injections de Sobolev critiques, mesures microlocales et ondes non linéaires
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1994-1995
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - fre
UR -
ER -


  1. [FM] G.A. Francfort, F. Murat: Oscillations and Energies Densities in the Wave Equation, Comm. Partial Diff. Eq., 17 (1992), 1785-1865. Zbl0803.35010MR1194741
  2. [G1] P. Gérard: Compacité par compensation et régularité 2-microlocale, Séminaire Equations aux Dérivées Partielles, 1988-1989, Exposé n° VI, Ecole Polytechnique, Palaiseau Zbl0707.35032MR1032282
  3. [G2] P. Gérard: Microlocal Defect Measures, Comm. Partial Diff. Eq., 16 (1991), 1761-1794. Zbl0770.35001MR1135919
  4. [G3] P. Gérard: Mesures semi-classiques et ondes de Bloch, Séminaire Equations aux Dérivées Partielles, 1990-1991, Exposé n° XVI, Ecole Polytechnique, Palaiseau Zbl0739.35096MR1131589
  5. [G4] P. Gérard: Oscillations and Concentration Effects in Semilinear Dispersive Wave Equations, Prépublication Orsay, Juillet 1994. Zbl0868.35075
  6. [GL] P. Gérard, E. Leichtnam: Ergodic Properties of Eigenfunctions for the Dirichlet Problem, Duke Math. J., 71 (1993), 559-607. Zbl0788.35103MR1233448
  7. [GV] P. Ginibre, G. Velo: The Global Cauchy Problem for the Non Linear Klein-Gordon Equation, Math. Z., 189 (1985), 487-505. Zbl0549.35108MR786279
  8. [Gr1] M. Grillakis: Regrlarity and Asymptotic Behaviour of the Wave Equation with a Critical Nonlinearity, Ann. Math., 132 (1990), 485-509. Zbl0736.35067MR1078267
  9. [Gr2 ] M. Grillakis: Regularity for the Wave Equation with Critical Nonlinearity, Comm. Pure and Applied Math., 45 (1992), 749-774. Zbl0785.35065MR1162370
  10. [J] K. Jörgens: Das Ansfangwert Problem im Grossen für eine Klasse nichtlinear Wellengleichungen, Math. Z, 77 (1961), 295-308. Zbl0111.09105MR130462
  11. [L] P.-L. Lions: The Concentration-Compactness Principle in the Calculus of Variations. The limit case, Part 1, Revista Matemática Iberoamericana, 1 (1985), 145-201. Zbl0704.49005MR834360
  12. [LP] P.-L. Lions, T. Paul: Sur les mesures de Wigner, Revista Matemática Iberoamericana, 9 (1993), 553-618. Zbl0801.35117MR1251718
  13. [S] J. Shatah, M. Struwe: Regularity Results for Nonlinear Wave Equations, Ann. Math., 138 (1993), 503-518. Zbl0836.35096MR1247991
  14. [So] C. Sogge: Concerning the Lp norm of Spectral Clusters for second Order Elliptic Operators on Compact Manifolds, J. Funct. Anal.77 (1988), 123-134. Zbl0641.46011MR930395
  15. [St] R. Strichartz: Restriction of Fourier Transform to Quadratic Surfaces and Decay of Solutions of the Wave Equations, Duke Math., 44 (1977), 705-714. Zbl0372.35001MR512086
  16. [T] L. Tartar: H-measures: a new approach for studying homogenization, oscillations and concentration effects in partial differential equations, Proc. Roy. Soc. Edinburgh Sect. A, 115 (1990), 193-230. Zbl0774.35008MR1069518

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.