A NEKHOROSHEV TYPE THEOREM FOR THE NONLINEAR KLEIN-GORDON EQUATION WITH POTENTIAL

被引：2
|
作者：
Pasquali, Stefano [1 ]
机构：
[1] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 09期
关键词：
Nekhoroshev theorem; nonlinear Klein-Gordon equation; Hamiltonian systems; normal forms; long time behaviour; BIRKHOFF NORMAL-FORM; LONG-TIME EXISTENCE; GLOBAL EXISTENCE; STABILITY; PERTURBATIONS;
D O I：
10.3934/dcdsb.2017215
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the one-dimensional nonlinear Klein-Gordon (NLKG) equation with a convolution potential, and we prove that solutions with small analytic norm remain small for exponentially long times. The result is uniform with respect to c >= 1, which however has to belong to a set of large measure.
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页码：3573 / 3594
页数：22
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