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Regularity of Wave-Maps in dimension 2+1

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arxiv 0907.3148 v1 pith:DP6FAQP3 submitted 2009-07-17 math.AP math-phmath.MP

Jacob Sterbenz , Daniel Tataru This is my paper · ORCID
classification math.APmath-phmath.MP
keywords mathcalregularitywave-mapsarticlecompactdimensiongeneralglobal
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abstract

In this article we prove a Sacks-Uhlenbeck/Struwe type global regularity result for wave-maps $\Phi:\mathbb{R}^{2+1}\to\mathcal{M}$ into general compact target manifolds $\mathcal{M}$.

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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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