Skip navigation
Skip navigation

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

Zhang, Junyong; Zheng, Jiqiang


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).

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Journal of Functional Analysis
DOI: 10.1016/j.jfa.2014.08.012


File Description SizeFormat Image
01_Zhang_Scattering_theory_for_2014.pdf477.93 kBAdobe PDF    Request a copy

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

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator