On asymptotic completeness for scattering in the nonlinear lamb system

@article{Komech2009OnAC,
  title={On asymptotic completeness for scattering in the nonlinear lamb system},
  author={Alexander Komech and A. E. Merzon},
  journal={Journal of Mathematical Physics},
  year={2009},
  volume={50},
  pages={012702-012702}
}
We establish the asymptotic completeness in the nonlinear Lamb system for hyperbolic stationary states. For the proof we construct a trajectory of a reduced equation (which is a nonlinear nonautonomous ordinary differential equation) converging to a hyperbolic stationary point using the inverse function theorem in a Banach space. We give counterexamples which show nonexistence of such trajectories for nonhyperbolic stationary points. 
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Scattering in the nonlinear Lamb system
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