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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A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2005{2009
(2 < p < 4) [200]. (Uq(∫u(1, 1)), oq1/2(2n)) [92]. 1 [273, 79, 304, 119]. 1 + 1 [252]. 2 [352, 318, 226, 40, 233, 157, 299, 60]. 2× 2 [185]. 3 [456, 363, 58, 18, 351]. ∗ [238]. 2 [277]. 3 [350]. p
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