Inégalités de Strichartz généralisées pour l'équation des ondes

J. Ginibre; G. Velo

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

  • page 1-10

How to cite

top

Ginibre, J., and Velo, G.. "Inégalités de Strichartz généralisées pour l'équation des ondes." Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995): 1-10. <http://eudml.org/doc/112105>.

@article{Ginibre1994-1995,
author = {Ginibre, J., Velo, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {homogeneous Besov spaces},
language = {fre},
pages = {1-10},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Inégalités de Strichartz généralisées pour l'équation des ondes},
url = {http://eudml.org/doc/112105},
year = {1994-1995},
}

TY - JOUR
AU - Ginibre, J.
AU - Velo, G.
TI - Inégalités de Strichartz généralisées pour l'équation des ondes
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1994-1995
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 10
LA - fre
KW - homogeneous Besov spaces
UR - http://eudml.org/doc/112105
ER -

References

top
  1. [Be] M. Bezard, Une version générale de l'inégalité de Strichartz, C.R.A.S. Paris315 (1992), 1241-1244. Zbl0803.47048MR1194526
  2. [Br] P. Brenner, On Lp - Lp' estimates for the wave equation, Math. Z145 (1975), 251-254. Zbl0321.35052MR387819
  3. [GSV] J. Ginibre, A. Soffer and G. Velo, The global Cauchy problem for the critical nonlinear wave-equation, J. Funct. Anal.110 (1992), 96-130. Zbl0813.35054MR1190421
  4. [GV1] J. Ginibre and G. Velo, Scattering theory in the energy space for a, class of nonlinear Schrödinger equations, J. Math. Pures Appl.64 (1984), 363-401. Zbl0535.35069MR839728
  5. [GV2] J. Ginibre and G. Velo, Conformal invariance and time decay for nonlinear wave equations, II, Ann. Inst. Henri Poincaré (Physique Théorique)47 (1987), 263-276. Zbl0644.35067MR921307
  6. [GV3] J. Ginibre and G. Velo, Scattering theory in the energy space for a class of nonlinear wave equations, Commun. Math. Phys.123 (1989), 535-573. Zbl0698.35112MR1006294
  7. [GV4] J. Ginibre and G. Velo, Smoothing properties and retarded estimates for some dispersive evolution equations, Commun. Math. Phys.144 (1992), 163-188. Zbl0762.35008MR1151250
  8. [GV5] J. Ginibre and G. Velo, Generalized Strichartz inequalities for the wave equation, J. Funct. Anal., sous presse. Zbl0849.35064
  9. [K1] L. Kapitanski, Some generalizations of the Strichartz-Brenner inequality, Leningrad Math. J.1 (1990), 693-726. Zbl0732.35118MR1015129
  10. [K2] L. Kapitanski, Cauchy problem for a semilinear wave equation, II, Jour. Sov. Math.62 (1992), 2746-2776. III ibid 2619-2645. Zbl0784.35128MR1097579
  11. [LS] H. Lindblad and C.D. Sogge, On existence and scattering with minimal regularity for semilinear wave equations, J. Func. Anal., sous presse. Zbl0846.35085MR1335386
  12. [M] B. Marshall, Mixed norm estimates for the Klein-Gordon equation, in Proc. Conf. Harm. Anal. in honor. of A. Zygmund, Wadsworth, (1981), 638-649. Zbl0516.35047MR730098
  13. [MSS] G. Mockenhaupt, A. Seeger and C.D. Sogge, Local smoothing of Fourier integrals and Carleson-Sjölin estimates, J. Amer. Math. Soc.6 (1993), 65-130. Zbl0776.58037MR1168960
  14. [P1] H. Pecher, Lp-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen, I, Math. Z.150 (1976), 159-183. Zbl0318.35054MR435604
  15. [P2] H. Pecher, Nonlinear small data scattering for the wave and Klein-Gordon equation, Math. Z.185 (1984), 261-270. Zbl0538.35063MR731347
  16. [Se] I.E. Segal, Space-time decay for solutions of wave equations, Adv. Math.22 (1976), 304-311. Zbl0344.35058MR492892
  17. [St] R.S. Strichartz, Restriction of Fourier transform to quadratic surfaces and decay of solutions of wave equations, Duke Math. J.44 (1977), 705-774. Zbl0372.35001MR512086
  18. [T] H. Triebel, Theory of function spaces, Birkhäuser, Basel, 1983. Zbl0546.46027MR781540
  19. [Y] K. Yajima, Existence of solutions for Schrödinger evolution equations, Commun. Math. Phys.110 (1987), 415-426. Zbl0638.35036MR891945

NotesEmbed ?

top

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.