Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Stability of the Nontrivial Solutions to the Wave Map Problem
  from Kerr $|a|\ll M$ to the Hyperbolic Plane under Axisymmetric Perturbations
  Preserving Angular Momentum   This document proves global boundedness and decay for axisymmetric
perturbations of a known solution to the wave map problem from a slowly
rotating $|a|\ll M$ Kerr spacetime to the hyperbolic plane. This problem is
motivated by the general axisymmetric stability of Kerr conjecture and was
first posed by Ionescu and Klainerman in [IK14]. Two particular developments in
this paper, the treatment of terms near the axis of symmetry and the use of a
decay hierarchy for energy estimates on uniformly spacelike hypersurfaces, can
be used for a variety of similar problems.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th