Scattering of wave maps from $${{\mathbb {R}^{2+1}}}$$ to general targets

We show that smooth, radially symmetric wave maps U from $${\mathbb {R}^{2+1}}$$ to a compact target manifold (N, where ∂ r U and ∂ t U have compact support for any fixed time, scatter. The result will follow from the work of Christodoulou and Tahvildar-Zadeh, and Struwe, upon proving that for $${(\lambda^{\prime} \in (0,1),}$$ energy does not concentrate in the set $$K_{\frac{5}{8}T,\frac{7}{8}T}^{\lambda^{\prime}} = \{(x,t) \in \mathbb{R}^{2+1} \vert \quad|x| \leq \lambda^{\prime} t, t \in [(5/8)T,(7/8)T] \}.$