Energy Dispersed Large Data Wave Maps in 2 + 1 Dimensions
Open Access Publications from the University of California

## Energy Dispersed Large Data Wave Maps in 2 + 1 Dimensions

• Author(s): Sterbenz, Jacob;
• Tataru, Daniel
• et al.

## Published Web Location

https://doi.org/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. This is a companion to our concurrent article [21], which together with the present work establishes a full regularity theory for large data Wave-Maps.

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