Analyticity of solutions of the Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Analyticity of solutions of the Korteweg-de Vries equation
zbMATH Open document ID: 1078.35106
author: Shigeo Tarama
published in: Journal of Mathematics of Kyoto University
publication date: 2005-02-28T00:00:00Z
review text: The smoothing effect is one of the important properties of the dispersive equation such as the KdV equation. This effect says that solutions gain smoothness if the initial value decays rapidly. The author studies the analytic smoothing effect for the KdV equation. He shows this effect by using the inverse scattering method which transforms the KdV equation to a linear dispersive equation whose analytic smoothing effect is shown through the properties of the Airy function.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K15
zbMATH DE Number: 2139633
zbMATH Keywords: analytic smoothing effect
zbMATH Keywords: KdV equation
zbMATH Keywords: Airy function
reviewed by: Xianguo Geng
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250283580
OpenAlex ID: W1553471577
DOI: 10.1215/KJM/1250283580
description: scientific article; zbMATH DE number 2139633