On Asymptotic Completeness of Scattering in the Nonlinear Lamb System, II
Mathematical Physics
2015-06-05 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1205.5850,
title = {On Asymptotic Completeness of Scattering in the Nonlinear Lamb System, II},
author = {A. I. Komech and A. E. Merzon},
journal= {arXiv preprint arXiv:1205.5850},
year = {2015}
}