Energy dispersed large data wave maps in 2+1 dimensions
arXiv:0906.3384 · doi:10.1007/s00220-010-1061-4
Abstract
In this article we consider large data Wave-Maps from $\mathbb{R}^{2+1}$ into a compact Riemannian manifold $(\mathcal{M},g)$, and we prove that regularity and dispersive bounds persist as long as a certain type of bulk (non-dispersive) concentration is absent. In a companion article we use these results in order to establish a full regularity theory for large data Wave-Maps.
89 pages