A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential
Analysis of PDEs
2017-06-23 v2 Mathematical Physics
math.MP
Abstract
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 , which however has to belong to a set of large measure.
Keywords
Cite
@article{arxiv.1705.03105,
title = {A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential},
author = {S. Pasquali},
journal= {arXiv preprint arXiv:1705.03105},
year = {2017}
}