Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subcritical well-posedness results for the Zakharov-Kuznetsov equation
  in dimension three and higher   The Zakharov-Kuznetsov equation in space dimension $d\geq 3$ is considered.
It is proved that the Cauchy problem is locally well-posed in
$H^s(\mathbb{R}^d)$ in the full subcritical range $s>(d-4)/2$, which is optimal
up to the endpoint. As a corollary, global well-posedness in
$L^2(\mathbb{R}^3)$ and, under a smallness condition, in $H^1(\mathbb{R}^4)$,
follow.

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The categories of this paper are: dg-ga
10
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: patt-sol
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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph