On the NLS approximation for the nonlinear Klein-Gordon equation
Analysis of PDEs
2022-08-25 v1
Abstract
In this paper, developing a new approach based on Fourier analysis methods for dispersive PDEs, we establish a low regularity NLS approximation for the one-dimensional cubic Klein-Gordon equation. Our main result includes energy class solutions which are formally asymptotically in . A precise rate of convergence is also obtained assuming more regularity.
Cite
@article{arxiv.2208.11240,
title = {On the NLS approximation for the nonlinear Klein-Gordon equation},
author = {Seokchang Hong and Younghun Hong},
journal= {arXiv preprint arXiv:2208.11240},
year = {2022}
}