Dispersive decay of small data solutions for the KdV equation
Analysis of PDEs
2022-01-04 v2
Abstract
We consider the Korteweg-de Vries (KdV) equation, and prove that small localized data yields solutions which have dispersive decay on a quartic time-scale. This result is optimal, in view of the emergence of solitons at quartic time, as predicted by inverse scattering theory.
Cite
@article{arxiv.1901.05934,
title = {Dispersive decay of small data solutions for the KdV equation},
author = {Mihaela Ifrim and Herbert Koch and Daniel Tataru},
journal= {arXiv preprint arXiv:1901.05934},
year = {2022}
}
Comments
41 pages, 1 figure; final revision