English

Equivariant Schr\"odinger Maps in two spatial dimensions

Analysis of PDEs 2019-12-19 v1

Abstract

We consider equivariant solutions for the Schr\"odinger map problem from R2+1\mathbb{R}^{2+1} to S2\mathbb{S}^2 with energy less than 4π4\pi and show that they are global in time and scatter.

Keywords

Cite

@article{arxiv.1112.6122,
  title  = {Equivariant Schr\"odinger Maps in two spatial dimensions},
  author = {Ioan Bejenaru and Alexandru Ionescu and Carlos E. Kenig and Daniel Tataru},
  journal= {arXiv preprint arXiv:1112.6122},
  year   = {2019}
}
R2 v1 2026-06-21T19:57:40.054Z