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Energy dispersed large data wave maps in 2+1 dimensions

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arxiv 0906.3384 v1 pith:YQTTWRDW submitted 2009-06-18 math.AP

classification math.AP
keywords datalargearticleregularitywave-mapsabsentboundsbulk
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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.

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Cited by 1 Pith paper

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  1. On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes

    gr-qc 2025-07 conditional novelty 4.0 of 10

    For subextremal Kerr spacetimes, the paper constructs a positive-definite, conserved Hamiltonian energy for axially symmetric linear perturbations, indicating a form of linear stability within this symmetry class.

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