Communications in Mathematical Physics

, Volume 85, Issue 4, pp 549–561

Orbital stability of standing waves for some nonlinear Schrödinger equations

  • T. Cazenave
  • P. L. Lions

DOI: 10.1007/BF01403504

Cite this article as:
Cazenave, T. & Lions, P.L. Commun.Math. Phys. (1982) 85: 549. doi:10.1007/BF01403504


We present a general method which enables us to prove the orbital stability of some standing waves in nonlinear Schrödinger equations. For example, we treat the cases of nonlinear Schrödinger equations arising in laser beams, of time-dependent Hartree equations ....

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • T. Cazenave
    • 1
  • P. L. Lions
    • 2
  1. 1.C.N.R.S. Laboratoire d'Analyse NumeriqueUniversité P. et M. CurieParis Cedex 05France
  2. 2.CeremadeUniversité Paris IXParis Cedex 16France

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