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

2017/05/08 by Stefano Pasquali, Pasquali, S. · 1 citation
Engineering · Mathematics · Physics and Astronomy · #35Q40 #37K45 #37K55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1705.03105

openalex publication_date 2017/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 c ≥ 1, which however has to belong to a set of large measure.

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