1205.5850 (A. I. Komech et al.)

On Asymptotic Completeness of Scattering in the Nonlinear Lamb System,
II    [PDF]

A. I. Komech, A. E. Merzon

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 ODE) converging to a hyperbolic stationary point using the Inverse Function Theorem in a Banach space. We give the counterexamples showing nonexistence of such trajectories for nonhyperbolic stationary points.

View original: http://arxiv.org/abs/1205.5850