A higher dispersion KdV equation on the line
type: Item
instance of: scholarly article
title: A higher dispersion KdV equation on the line
zbMATH Open document ID: 1450.35232
author: Renata O. Figueira
author: A. Alexandrou Himonas
author: Fangchi Yan
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2020-09-14T00:00:00Z
review text: The authors study the well-posedness of the Cauchy problem for the higher dispersion KdV equation \[\partial_tu+(-1)^{j+1}\partial_x^{2j+1}u+\frac12\partial_x(u^2)=0\] in the scales of Sobolev and Gevrey spaces. The approach involves modified bilinear estimates in the Bourgain spaces. Optimality of the estimates is discussed as well as lack of time analyticity.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7247144
zbMATH Keywords: higher-order Korteweg-de Vries equation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: analyticity
zbMATH Keywords: Gevrey spaces
zbMATH Keywords: Bourgain spaces
MaRDI profile type: Publication
full work available at URL: j.na.2020.112055
OpenAlex ID: W3042244102
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DOI: 10.1016/J.NA.2020.112055
description: scientific article