Modified scattering for the $1d$ cubic NLS with a repulsive delta potential
Analysis of PDEs
2020-01-03 v2
Abstract
We consider the initial-value problem for the cubic nonlinear Schr\"odinger equation with a repulsive delta potential. We prove that small initial data in a weighted Sobolev space lead to global solutions that decay in and exhibit modified scattering.
Cite
@article{arxiv.1708.00392,
title = {Modified scattering for the $1d$ cubic NLS with a repulsive delta potential},
author = {Satoshi Masaki and Jason Murphy and Jun-ichi Segata},
journal= {arXiv preprint arXiv:1708.00392},
year = {2020}
}
Comments
18 pages