Sharp global regularity for the 2+1-dimensional equivariant Faddeev model

preprint2013arXivOpen access

Abstract

The aim of this article is to prove that for the 2+1-dimensional equivariant Faddeev model, which is a quasilinear generalization of the corresponding nonlinear sigma model, small initial data in critical Besov spaces evolve into global solutions which scatter.

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