Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global regularity for a logarithmically supercritical defocusing
  nonlinear wave equation for spherically symmetric data   We establish global regularity for the logarithmically energy-supercritical
wave equation $\Box u = u^5 \log(2+u^2)$ in three spatial dimensions for
spherically symmetric initial data, by modifying an argument of Ginibre, Soffer
and Velo \cite{gsv} for the energy-critical equation. This example demonstrates
that critical regularity arguments can penetrate very slightly into the
supercritical regime.

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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph