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Orbital stability of standing waves for some nonlinear Schrödinger equations
Authors:T. Cazenave  P. L. Lions
Affiliation:(1) C.N.R.S. Laboratoire d'Analyse Numerique, Université P. et M. Curie, 4 Place Jussieu, F-75230 Paris Cedex 05, France;(2) Ceremade, Université Paris IX, Place de Lattre de Tassigny, F-75775 Paris Cedex 16, France
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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