Asymptotic completeness of scattering in the nonlinear Lamb system for nonzero mass

被引：0
|
作者：
Komech, A. I. [1 ,2 ]
Merzon, A. E. [3 ]
机构：
[1] Univ Vienna, Fac Math, Vienna, Austria
[2] RAS, Inst Informat Transmiss Problems, Moscow, Russia
[3] Univ Michoacan San Nicolas Hidalgo, Inst Phys & Math, Morelia, Michoacan, Mexico
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 24卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
LOW-ENERGY;
D O I：
10.1134/S1061920817030074
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We establish the asymptotic completeness in the nonlinear Lamb system with nonzero mass 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 Banach space Inverse Function Theorem and a priori estimates. We give a counterexample showing that the hyperbolicity condition is essential.
引用
收藏
页码：336 / 346
页数：11
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