Scattering theory for nonlinear Schroedinger equations with inverse-square potential
Analysis of PDEs
2014-12-02 v2
Abstract
We study the long-time behavior of solutions to nonlinear Schroedinger equations with some critical rough potential of inverse square type. The new ingredients are the interaction Morawetz-type inequalities and Sobolev norm property associated with the Lapalacian with inverse square potential. We use such properties to obtain the scattering theory for the defocusing energy-subcritical nonlinear Schroedinger equation with inverse square potential in energy space.
Cite
@article{arxiv.1312.2294,
title = {Scattering theory for nonlinear Schroedinger equations with inverse-square potential},
author = {Junyong Zhang and Jiqiang Zheng},
journal= {arXiv preprint arXiv:1312.2294},
year = {2014}
}
Comments
21pages