Energy scattering for the unsteady damped nonlinear Schrodinger equation
Analysis of PDEs
2025-02-11 v3 Mathematical Physics
math.MP
Abstract
We investigate the large time behavior of the solutions to the nonlinear focusing Schr\"odinger equation with a time-dependent damping in the energy sub-critical regime. Under non classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.
Cite
@article{arxiv.2311.14980,
title = {Energy scattering for the unsteady damped nonlinear Schrodinger equation},
author = {Makram Hamouda and Mohamed Majdoub},
journal= {arXiv preprint arXiv:2311.14980},
year = {2025}
}
Comments
To appear in Mediterranean Journal of Mathematics