A Liouville theorem for the Chern--Simons--Schrödinger equation

2023/02/24 by Dodson, Benjamin
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.12384

Abstract

In this paper we prove a Liouville theorem for the Chern--Simons--Schrödinger 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.

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