Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local well-posedness for low regularity data for the higher-dimensional
  Maxwell-Klein-Gordon system in Lorenz gauge   The Cauchy problem for the Maxwell-Klein-Gordon equations in Lorenz gauge in
$n$ space dimensions ($n \ge 4$) is shown to be locally well-posed for low
regularity (large) data. The result relies on the null structure for the main
bilinear terms which was shown to be not only present in Coulomb gauge but also
in Lorenz gauge by Selberg and Tesfahun, who proved global well-posedness for
finite energy data in three space dimensions. This null structure is combined
with product estimates for wave-Sobolev spaces. Crucial for the improvement are
the solution spaces introduced by Klainerman-Selberg. Preliminary results were
already contained in arXiv:1705.00599.

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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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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: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat