paper

A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential

arXiv:1705.03105

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.

A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential · wovepaper