### Equivariant Schrödinger maps in two spatial dimensions

I. Bejenaru, A. Ionescu, C. Kenig, and D. Tataru
Source: Duke Math. J. Volume 162, Number 11 (2013), 1967-2025.

#### Abstract

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

First Page:
Primary Subjects: 35B65