Modified wave operators for the Hartree equation with data, image and convergence in the same space. II
type: Item
instance of: scholarly article
title: Modified wave operators for the Hartree equation with data, image and convergence in the same space. II
zbMATH Open document ID: 1040.35054
published in: Annales Henri Poincaré
publication date: 2003-08-19T00:00:00Z
review text: The author constructs the modified wave operators for Hartree equations with long-range interactions \(| x|^{-\nu}\). He extends his previous results [see Part I, Commun. Pure appl. Anal. 1, 237--252 (2002; Zbl 1013.35056)] to the whole range of the Dollard type \(1/2 < \nu < 1\). His results imply, in particular, asymptotic completeness for small data.
reviewed by: Ricardo Weder
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81U99
zbMATH DE Number: 1966597
zbMATH Keywords: long-range scattering
zbMATH Keywords: Hartree equations
author: Kenji Nakanishi
MaRDI profile type: Publication
full work available at URL: s00023-002-8626-5
OpenAlex ID: W2047768492
DOI: 10.1007/S00023-002-8626-5
description: scientific article; zbMATH DE number 1966597