Energy dispersed large data wave maps in 2+1 dimensions

Details Energy dispersed large data wave maps in 2+1 dimensions Energy dispersed large data wave maps in 2+1 dimensions

2009-06-18

arxiv.org/abs/0906.3384v1

Mathematics

Analysis of PDEs

89 pages

Scientific paper

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.

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