Skip navigation
Skip navigation
A change is coming. Click to see a sneak peek of the new Open Research Repository.

Scattering theory for nonlinear Schr?dinger equations with inverse-square potential

Request a Copy

link to publisher version

  • Altmetric Citations

Zhang, Junyong; Zheng, Jiqiang

Description

We study the long-time behavior of solutions to nonlinear Schrödinger equations with some critical rough potential of a|x| −2 type. The new ingredients are the interaction Morawetz-type inequalities and Sobolev norm property associated with Pa = −Δ + a|x|−2. We use such properties to obtain the scattering theory for the defocusing energysubcritical nonlinear Schrödinger equation with inverse square potential in energy space H1(Rn).

dc.contributor.authorZhang, Junyong
dc.contributor.authorZheng, Jiqiang
dc.date.accessioned2016-06-14T23:20:38Z
dc.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/1885/103478
dc.description.abstractWe study the long-time behavior of solutions to nonlinear Schrödinger equations with some critical rough potential of a|x| −2 type. The new ingredients are the interaction Morawetz-type inequalities and Sobolev norm property associated with Pa = −Δ + a|x|−2. We use such properties to obtain the scattering theory for the defocusing energysubcritical nonlinear Schrödinger equation with inverse square potential in energy space H1(Rn).
dc.publisherAcademic Press
dc.sourceJournal of Functional Analysis
dc.titleScattering theory for nonlinear Schr?dinger equations with inverse-square potential
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume267
dc.date.issued2014
local.identifier.absfor010100 - PURE MATHEMATICS
local.identifier.ariespublicationU3488905xPUB7881
local.type.statusPublished Version
local.contributor.affiliationZhang, Junyong, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationZheng, Jiqiang, Universite Nice Sophia-Antipolis
local.description.embargo2037-12-31
local.bibliographicCitation.issue8
local.bibliographicCitation.startpage2907
local.bibliographicCitation.lastpage2932
local.identifier.doi10.1016/j.jfa.2014.08.012
dc.date.updated2016-06-14T08:51:06Z
local.identifier.scopusID2-s2.0-84908551636
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Zhang_Scattering_theory_for_2014.pdf477.93 kBAdobe PDF    Request a copy
Show simple item record


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator