Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large data decay of Yang-Mills-Higgs fields on Minkowski and de Sitter
  spacetimes   We extend Eardley and Moncrief's $L^\infty$ estimates for the conformally
invariant Yang-Mills-Higgs equations to the Einstein cylinder. Our method is to
first work on Minkowski space and localise their estimates, and then carry them
to the Einstein cylinder by a conformal transformation. By patching local
estimates together, we deduce global $L^\infty$ estimates on the cylinder, and
extend Choquet-Bruhat and Christodoulou's small data well-posedness result to
large data. Finally, by employing another conformal transformation, we deduce
exponential decay rates for Yang-Mills-Higgs fields on de Sitter space, and
inverse polynomial decay rates on Minkowski space.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex