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

Dan-Andrei Geba; Kenji Nakanishi; Xiang Zhang

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

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arxiv 1307.4721 v1 pith:2K5PIOTY submitted 2013-07-17 math.AP hep-thmath-phmath.MP

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

Dan-Andrei Geba , Kenji Nakanishi , Xiang Zhang This is my paper

classification math.AP hep-thmath-phmath.MP

keywords modeldimensionalequivariantfaddeevglobalarticlebesovcorresponding

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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.

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

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