Dispersive decay bound of small data solutions to higher order scattering-supercritical KdV-type equations
Analysis of PDEs
2022-10-13 v1
Abstract
In this article, we prove that small localized data yield solutions to Higher order Korteweg-de Vries type equation with scattering-supercritical nonlinearity have linear dispersive decay in only a finite length of time. The proof is done by using space-time resonance method and analyzing the oscillatory integrals on the Fourier side.
Keywords
Cite
@article{arxiv.2210.05943,
title = {Dispersive decay bound of small data solutions to higher order scattering-supercritical KdV-type equations},
author = {Jongwon Lee},
journal= {arXiv preprint arXiv:2210.05943},
year = {2022}
}