English

Sequential convergence of a solution to the Chern--Simons--Schrodinger equation

Analysis of PDEs 2023-09-21 v1

Abstract

In this paper we prove a sequential convergence result for blowup solutions to the mm-equivariant, self-dual Chern--Simons--Schr{\"o}dinger equation. We show that if uu has mass less than twice the mass of the soliton, a blowup solution converges to the soliton along a subsequence of times that converges to the blowup time.

Keywords

Cite

@article{arxiv.2309.10925,
  title  = {Sequential convergence of a solution to the Chern--Simons--Schrodinger equation},
  author = {Benjamin Dodson},
  journal= {arXiv preprint arXiv:2309.10925},
  year   = {2023}
}
R2 v1 2026-06-28T12:26:38.677Z