Scattering below the ground state for the 2$d$ radial nonlinear Schr\"odinger equation
Analysis of PDEs
2020-06-23 v1
Abstract
We revisit the problem of scattering below the ground state threshold for the mass-supercritical focusing nonlinear Schr\"odinger equation in two space dimensions. We present a simple new proof that treats the case of radial initial data. The key ingredient is a localized virial/Morawetz estimate; the radial assumption aids in controlling the error terms resulting from the spatial localization.
Cite
@article{arxiv.1906.00515,
title = {Scattering below the ground state for the 2$d$ radial nonlinear Schr\"odinger equation},
author = {Anudeep Kumar Arora and Benjamin Dodson and Jason Murphy},
journal= {arXiv preprint arXiv:1906.00515},
year = {2020}
}
Comments
11 pages