Scattering for the defocusing NLS on the line with variable coefficients
Analysis of PDEs
2023-03-30 v1
Abstract
We prove scattering for a defocusing NLS on the line with fully variable coefficients. The result is proved by adapting the Kenig--Merle scheme to a non translation invariant setting. In addition, we give an abstract version of the scheme which can be applied to other operators.
Keywords
Cite
@article{arxiv.2303.16269,
title = {Scattering for the defocusing NLS on the line with variable coefficients},
author = {Piero D'Ancona and Angelo Zanni},
journal= {arXiv preprint arXiv:2303.16269},
year = {2023}
}