Tuesday, May 29, 2012

1205.5850 (A. I. Komech et al.)

On Asymptotic Completeness of Scattering in the Nonlinear Lamb System,

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

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