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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Abstract

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 ....

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Authors and Affiliations

  1. C.N.R.S. Laboratoire d'Analyse Numerique, Université P. et M. Curie, 4 Place Jussieu, F-75230, Paris Cedex 05, France

    T. Cazenave

  2. Ceremade, Université Paris IX, Place de Lattre de Tassigny, F-75775, Paris Cedex 16, France

    P. L. Lions

Authors
  1. T. Cazenave
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  2. P. L. Lions
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Communicated by B. Simon

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Cazenave, T., Lions, P.L. Orbital stability of standing waves for some nonlinear Schrödinger equations. Commun.Math. Phys. 85, 549–561 (1982). https://doi.org/10.1007/BF01403504

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  • DOI: https://doi.org/10.1007/BF01403504

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