Near soliton evolution for $2$-equivariant Schrödinger Maps in two space dimensions

Ioan Bejenaru, Mohandas Pillai, Daniel Tataru

We consider equivariant solutions for the Schrödinger Map equation in $2+1$ dimensions, with values into ${\mathbb{S}}^2$. Within each equivariance class $m\in \mathbb{Z}$ this admi…