A Liouville theorem for the Chern--Simons--Schr{\"o}dinger equation
Analysis of PDEs
2023-02-27 v1
Abstract
In this paper we prove a Liouville theorem for the Chern--Simons--Schr{\"o}dinger equation. This result is consistent with the soliton resolution conjecture for initial data that does not lie in a weighted space. See [KKO22] for the soliton resolution result in a weighted space.
Cite
@article{arxiv.2302.12384,
title = {A Liouville theorem for the Chern--Simons--Schr{\"o}dinger equation},
author = {Benjamin Dodson},
journal= {arXiv preprint arXiv:2302.12384},
year = {2023}
}