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

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