Large data global regularity for the $2+1$-dimensional equivariant Faddeev model

Abstract

This article addresses the large data global regularity for the equivariant case of the $2+1$-dimensional Faddeev model and shows that it holds true for initial data in $H^s\times H^{s-1}({\mathbb{R}}^2)$ with $s>3$.

35 pages. arXiv admin note: text overlap with arXiv:1707.02917