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تسجيل مستخدم جديدFailure of scattering to solitary waves for long-range nonlinear Schrodinger equations
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We consider nonlinear Schrodinger equations with either power-type or Hartree nonlinearity in the presence of an external potential. We show that for long-range nonlinearities, solutions cannot exhibit scattering to solitary waves or more general localized waves. This extends the well-known results concerning non-existence of non-trivial scattering states for long-range nonlinearities.
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