Commutator expansions and smoothing properties of generalized Benjamin-Ono equations

J. Ginibre; G. Velo

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 51, Issue: 2, page 221-229
  • ISSN: 0246-0211

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Ginibre, J., and Velo, G.. "Commutator expansions and smoothing properties of generalized Benjamin-Ono equations." Annales de l'I.H.P. Physique théorique 51.2 (1989): 221-229. <http://eudml.org/doc/76466>.

@article{Ginibre1989,
author = {Ginibre, J., Velo, G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {commutators; generalized Benjamin-Ono equations},
language = {eng},
number = {2},
pages = {221-229},
publisher = {Gauthier-Villars},
title = {Commutator expansions and smoothing properties of generalized Benjamin-Ono equations},
url = {http://eudml.org/doc/76466},
volume = {51},
year = {1989},
}

TY - JOUR
AU - Ginibre, J.
AU - Velo, G.
TI - Commutator expansions and smoothing properties of generalized Benjamin-Ono equations
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 51
IS - 2
SP - 221
EP - 229
LA - eng
KW - commutators; generalized Benjamin-Ono equations
UR - http://eudml.org/doc/76466
ER -

References

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  1. [1] L. Abdelouhab, J.L. Bona, M. Felland and J.C. Saut, Non Local Models for Non Linear Dispersive Waves, preprint, 1988. Zbl0699.35227
  2. [2] J. Ginibre and Y. Tsutsumi, Uniqueness of Solutions for the Generalized Korteweg-de Vries Equation, S.I.A.M. J. Math. Anal. (in press). Zbl0702.35224
  3. [3] J. Ginibre, Y. Tsutsumi and G. Velo, Existence and Uniqueness of Solutions for the Generalized Korteweg-de Vries Equation, Math. Z. (in press). Zbl0662.35114
  4. [4] J. Ginibre and G. Velo, Propriétés de lissage et existence de solutions pour l'équation de Benjamin Ono généralisée, C. R. Acad. Sci. Paris, Vol. 308, Ser. I, 1989, pp. 309- 314. Zbl0694.35156MR989894
  5. [5] R.J. Iorio, On the Cauchy Problem for the Benjamin-Ono EquationComm. P.D.E., Vol. 11, 1986, pp. 1031-1081. Zbl0608.35030MR847994
  6. [6] T. Kato, On the Cauchy Problem for the (Generalized) Korteweg-de Vries Equation, Studies in Applied Mathematics, Adv. Math. Supplementary Studies, Vol. 18, 1983, pp. 93-128. Zbl0549.34001MR759907
  7. [7] S.N. Kruzhkov and A.V. Faminskii, Generalized Solutions of the Cauchy Problem for the Korteweg-de Vries Equation, Math. U.S.S.R. Sbornik, Vol. 48, 1984, pp. 391- 421. Zbl0549.35104MR691986
  8. [8] G. Ponce, Smoothing Properties of Solutions to the Benjamin-Ono Equation, preprint, 1988. MR1044813
  9. [9] G. Valiron, Cours d'Analyse Mathématique, Equations fonctionnelles, Applications, Masson, Paris, 1950. 

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