Sharp threshold of scattering versus non-scattering for some mass-sub-critical inhomogeneous NLS
Analysis of PDEs
2025-01-03 v1
Abstract
This work investigates the long time asymptotic behavior of some inhomogeneous non-linear Schr\"odinger type equations. We give sharp a threshold of scattering versus non-scattering of mass solutions, depending on the source term. This work complements the literature to the inhomogeneous regime.
Keywords
Cite
@article{arxiv.2501.00041,
title = {Sharp threshold of scattering versus non-scattering for some mass-sub-critical inhomogeneous NLS},
author = {B. Ayed. Sabria and T. Saanouni},
journal= {arXiv preprint arXiv:2501.00041},
year = {2025}
}