Skip to main content
Log in

Existence and uniqueness of solutions for the generalized Korteweg de Vries equation

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Ginibre, J., Tsutsumi, Y.: Uniqueness of solutions for the generalized Korteweg-de Vries equation SIAM J. Math. Anal. (in press)

  2. Hartman, P.: Ordinary differential equations. Boston Basel Stuttgart: Birkhäuser 1982

    MATH  Google Scholar 

  3. Kato, T.: On the Cauchy problem for the generalized Korteweg-de Vries equation. In: V. Guillemin (ed.) Studies in Applied Mathematics. Adv. Math., Suppl. Stud.18, 93–128 (1983)

  4. Kruzhkov, S.N., Faminskii, A.V.: Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation. Math. USSR, Sb.48, 391–421 (1984)

    Article  MATH  Google Scholar 

  5. Lions, J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris: Dunod and Gauthier Villars, 1969

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Laboratoire associé au Centre National de la Recherche Scientifique

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ginibre, J., Tsutsumi, Y. & Velo, G. Existence and uniqueness of solutions for the generalized Korteweg de Vries equation. Math Z 203, 9–36 (1990). https://doi.org/10.1007/BF02570720

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02570720

Keywords

Navigation