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

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dc.contributor.authorZhang, Junyong
dc.contributor.authorZheng, Jiqiang
dc.date.accessioned2016-06-14T23:20:38Z
dc.date.issued2014
dc.date.updated2016-06-14T08:51:06Z
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.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/1885/103478
dc.publisherAcademic Press
dc.sourceJournal of Functional Analysis
dc.titleScattering theory for nonlinear Schr?dinger equations with inverse-square potential
dc.typeJournal article
local.bibliographicCitation.issue8
local.bibliographicCitation.lastpage2932
local.bibliographicCitation.startpage2907
local.contributor.affiliationZhang, Junyong, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationZheng, Jiqiang, Universite Nice Sophia-Antipolis
local.contributor.authoruidZhang, Junyong, t1598
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010100 - PURE MATHEMATICS
local.identifier.ariespublicationU3488905xPUB7881
local.identifier.citationvolume267
local.identifier.doi10.1016/j.jfa.2014.08.012
local.identifier.scopusID2-s2.0-84908551636
local.type.statusPublished Version

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