Small data global regularity for half-wave maps in $n=4$ dimensions

Abstract

We prove that the half-wave maps problem on ${\mathbb{R}}^{4+1}$ with target $S^2$ is globally well-posed for smooth initial data which are small in the critical $l^1$ based Besov space. This is a formal analogue of the result for wave maps by Tataru.

References in corpus (1)

• Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps