Jacob Sterbenz, Daniel Tataru
Published 2009-06-18Version 1
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.
Blow-up analysis for a Hardy-Sobolev equation on compact Riemannian manifolds with application to the existence of solutions
Endpoint resolvent estimates for compact Riemannian manifolds
GJMS-type Operators on a compact Riemannian manifold: Best constants and Coron-type solutions
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