Well-posedness of the Cauchy problem for the Hirota equation in Sobolev spaces \(H^s\)
type: Item
instance of: scholarly article
title: Well-posedness of the Cauchy problem for the Hirota equation in Sobolev spaces \(H^s\)
zbMATH Open document ID: 1062.35132
author: Zhaohui Huo
author: Boling Guo
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-02-22T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 2136989
zbMATH Keywords: Hirota equation
zbMATH Keywords: Fourier restriction norm
zbMATH Keywords: Trilinear estimates
MaRDI profile type: Publication
full work available at URL: j.na.2004.10.011
OpenAlex ID: W2049205083
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
cites work: Global smooth solution for nonlinear evolution equation of Hirota type
cites work: Q3974678
cites work: The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
cites work: A bilinear estimate with applications to the KdV equation
cites work: THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
cites work: On the nonlinear Schrodinger equations of derivative type
cites work: On the generalized Korteweg-de Vries type equations
cites work: Global well-posedness for Schrödinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces
cites work: Q4842792
DOI: 10.1016/J.NA.2004.10.011
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description: scientific article; zbMATH DE number 2136989